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21011233130320 = 24519571160115121
BaseRepresentation
bin1001100011100000011110…
…00101100100011101010000
32202101122122222000002001111
410301300033011210131100
510223222001140132240
6112404232141343104
74266003641554666
oct461601705443520
982348588002044
1021011233130320
1167708a5382004
12243414b567a94
13b95473890c44
14528d404dcc36
1526683c88c1ea
hex131c0f164750

21011233130320 has 160 divisors (see below), whose sum is σ = 51547868760960. Its totient is φ = 7942717440000.

The previous prime is 21011233130309. The next prime is 21011233130387. The reversal of 21011233130320 is 2303133211012.

It is a super-2 number, since 2×210112331303202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21011233130291 and 21011233130300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389532360 + ... + 1389547480.

It is an arithmetic number, because the mean of its divisors is an integer number (322174179756).

Almost surely, 221011233130320 is an apocalyptic number.

21011233130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011233130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25773934380480).

21011233130320 is an abundant number, since it is smaller than the sum of its proper divisors (30536635630640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21011233130320 is a wasteful number, since it uses less digits than its factorization.

21011233130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21011233130320 its reverse (2303133211012), we get a palindrome (23314366341332).

The spelling of 21011233130320 in words is "twenty-one trillion, eleven billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 571 760 1142 1520 1601 2284 2855 3202 4568 5710 6404 8005 9136 10849 11420 12808 15121 16010 21698 22840 25616 30242 30419 32020 43396 45680 54245 60484 60838 64040 75605 86792 108490 120968 121676 128080 151210 152095 173584 216980 241936 243352 287299 302420 304190 433960 486704 574598 604840 608380 867920 914171 1149196 1209680 1216760 1436495 1828342 2298392 2433520 2872990 3656684 4570855 4596784 5745980 7313368 8634091 9141710 11491960 14626736 17268182 17369249 18283420 22983920 24208721 34536364 34738498 36566840 43170455 48417442 69072728 69476996 73133680 86340910 86846245 96834884 121043605 138145456 138953992 164047729 172681820 173692490 193669768 242087210 277907984 328095458 345363640 347384980 387339536 459965699 484174420 656190916 690727280 694769960 820238645 919931398 968348840 1312381832 1389539920 1640477290 1839862796 1936697680 2299828495 2624763664 3280954580 3679725592 4599656990 6561909160 7359451184 9199313980 13123818320 13823179691 18398627960 27646359382 36797255920 55292718764 69115898455 110585437528 138231796910 221170875056 262640414129 276463593820 525280828258 552927187640 1050561656516 1105854375280 1313202070645 2101123313032 2626404141290 4202246626064 5252808282580 10505616565160 21011233130320