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21021200221120 = 2651114323416947
BaseRepresentation
bin1001100011110011000010…
…01011000000001111000000
32202102121101120211202020121
410301321201023000033000
510223402404224033440
6112413001150550024
74266505636463521
oct461714113001700
982377346752217
1021021200221120
11677504a559930
122436071508314
13b963a17c81c8
14529608136848
15266c228e934a
hex131e612c03c0

21021200221120 has 112 divisors (see below), whose sum is σ = 54611288661888. Its totient is φ = 7643520783360.

The previous prime is 21021200221111. The next prime is 21021200221127. The reversal of 21021200221120 is 2112200212012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21021200221094 and 21021200221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021200221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50208487 + ... + 50625433.

It is an arithmetic number, because the mean of its divisors is an integer number (487600791624).

Almost surely, 221021200221120 is an apocalyptic number.

21021200221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021200221120 is an abundant number, since it is smaller than the sum of its proper divisors (33590088440768).

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

21021200221120 is a wasteful number, since it uses less digits than its factorization.

21021200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431298 (or 431288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021200221120 its reverse (2112200212012), we get a palindrome (23133400433132).

The spelling of 21021200221120 in words is "twenty-one trillion, twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 14323 28646 57292 71615 114584 143230 157553 229168 286460 315106 416947 458336 572920 630212 787765 833894 916672 1145840 1260424 1575530 1667788 2084735 2291680 2520848 3151060 3335576 4169470 4583360 4586417 5041696 6302120 6671152 8338940 9172834 10083392 12604240 13342304 16677880 18345668 22932085 25208480 26684608 33355760 36691336 45864170 50416960 66711520 73382672 91728340 133423040 146765344 183456680 293530688 366913360 733826720 1467653440 5971931881 11943863762 23887727524 29859659405 47775455048 59719318810 65691250691 95550910096 119438637620 131382501382 191101820192 238877275240 262765002764 328456253455 382203640384 477754550480 525530005528 656912506910 955509100960 1051060011056 1313825013820 1911018201920 2102120022112 2627650027640 4204240044224 5255300055280 10510600110560 21021200221120