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20003213100332 = 22711971636940903
BaseRepresentation
bin1001000110001010111000…
…11010010100010100101100
32121211021210022110220200202
410203011130122110110230
510110213040023202312
6110313203234013032
74133120160643220
oct443053432242454
977737708426622
1020003213100332
116412351348960
1222b090b717178
13b213aab8b337
144d2236c96780
1524a4e1ec09c2
hex12315c69452c

20003213100332 has 96 divisors (see below), whose sum is σ = 44097077498880. Its totient is φ = 7712454942720.

The previous prime is 20003213100331. The next prime is 20003213100359. The reversal of 20003213100332 is 23300131230002.

It is not an unprimeable number, because it can be changed into a prime (20003213100331) by changing a digit.

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, 489019793 + ... + 489060695.

It is an arithmetic number, because the mean of its divisors is an integer number (459344557280).

Almost surely, 220003213100332 is an apocalyptic number.

20003213100332 is a gapful number since it is divisible by the number (22) 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 20003213100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048538749440).

20003213100332 is an abundant number, since it is smaller than the sum of its proper divisors (24093864398548).

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

20003213100332 is a wasteful number, since it uses less digits than its factorization.

20003213100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57391 (or 57389 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20003213100332 its reverse (23300131230002), we get a palindrome (43303344330334).

The spelling of 20003213100332 in words is "twenty trillion, three billion, two hundred thirteen million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 388 679 1067 1358 2134 2716 4268 7469 14938 16369 29876 32738 40903 65476 81806 114583 163612 180059 229166 286321 360118 449933 458332 572642 720236 899866 1145284 1260413 1587793 1799732 2520826 3149531 3175586 3967591 5041652 6299062 6351172 7935182 11114551 12598124 15870364 17465723 22229102 27773137 34931446 43643501 44458204 55546274 69862892 87287002 111092548 122260061 174574004 244520122 305504507 489040244 611009014 669541207 1222018028 1339082414 2678164828 4686788449 7364953277 9373576898 14729906554 18747153796 29459813108 51554672939 64945497079 103109345878 129890994158 206218691756 259781988316 454618479553 714400467869 909236959106 1428800935738 1818473918212 2857601871476 5000803275083 10001606550166 20003213100332