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21012324032 = 267531994447
BaseRepresentation
bin10011100100011011…
…101001111011000000
32000020101101122202102
4103210123221323000
5321013123332112
613353011005532
71342463543630
oct234433517300
960211348672
1021012324032
118a02a00057
1240a4b998a8
131c9b33b43b
1410349206c0
1582ea83bc2
hex4e46e9ec0

21012324032 has 112 divisors (see below), whose sum is σ = 48807014400. Its totient is φ = 8788995072.

The previous prime is 21012324031. The next prime is 21012324083. The reversal of 21012324032 is 23042321012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×210123240322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21012323995 and 21012324013.

It is not an unprimeable number, because it can be changed into a prime (21012324031) 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, 4722833 + ... + 4727279.

Almost surely, 221012324032 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 21012324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24403507200).

21012324032 is an abundant number, since it is smaller than the sum of its proper divisors (27794690368).

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

21012324032 is a wasteful number, since it uses less digits than its factorization.

21012324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21012324032 its reverse (23042321012), we get a palindrome (44054645044).

The spelling of 21012324032 in words is "twenty-one billion, twelve million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 199 212 224 371 398 424 448 742 796 848 1393 1484 1592 1696 2786 2968 3184 3392 4447 5572 5936 6368 8894 10547 11144 11872 12736 17788 21094 22288 23744 31129 35576 42188 44576 62258 71152 73829 84376 89152 124516 142304 147658 168752 235691 249032 284608 295316 337504 471382 498064 590632 675008 884953 942764 996128 1181264 1649837 1769906 1885528 1992256 2362528 3299674 3539812 3771056 4725056 6194671 6599348 7079624 7542112 12389342 13198696 14159248 15084224 24778684 26397392 28318496 46902509 49557368 52794784 56636992 93805018 99114736 105589568 187610036 198229472 328317563 375220072 396458944 656635126 750440144 1313270252 1500880288 2626540504 3001760576 5253081008 10506162016 21012324032