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21210120032 = 255331739451
BaseRepresentation
bin10011110000001110…
…001011111101100000
32000202011120201212012
4103300032023331200
5321414242320112
613424354252052
71350415021433
oct236016137540
960664521765
1021210120032
118aa4618122
12413b287028
1320003034aa
141052ccb81a
15842105022
hex4f038bf60

21210120032 has 48 divisors (see below), whose sum is σ = 42680593872. Its totient is φ = 10371878400.

The previous prime is 21210120017. The next prime is 21210120037. The reversal of 21210120032 is 23002101212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21210119989 and 21210120016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210120037) 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 7 ways as a sum of consecutive naturals, for example, 517907 + ... + 557357.

It is an arithmetic number, because the mean of its divisors is an integer number (889179039).

Almost surely, 221210120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340296936).

21210120032 is an abundant number, since it is smaller than the sum of its proper divisors (21470473840).

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

21210120032 is a wasteful number, since it uses less digits than its factorization.

21210120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39831 (or 39823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21210120032 its reverse (23002101212), we get a palindrome (44212221244).

The spelling of 21210120032 in words is "twenty-one billion, two hundred ten million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 317 424 634 848 1268 1696 2536 5072 10144 16801 33602 39451 67204 78902 134408 157804 268816 315608 537632 631216 1262432 2090903 4181806 8363612 12505967 16727224 25011934 33454448 50023868 66908896 100047736 200095472 400190944 662816251 1325632502 2651265004 5302530008 10605060016 21210120032