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100021019964 = 22312316770987
BaseRepresentation
bin101110100100110110…
…1111010010100111100
3100120011122012021012220
41131021231322110330
53114320340114324
6113540553325340
710140420433125
oct1351155722474
9316148167186
10100021019964
1139467292778
1217474a06850
13957cc8c1a8
144babb7304c
152905edcb79
hex1749b7a53c

100021019964 has 24 divisors (see below), whose sum is σ = 233572002048. Its totient is φ = 33313251120.

The previous prime is 100021019963. The next prime is 100021020013. The reversal of 100021019964 is 469910120001.

100021019964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000210199642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021019963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3370722 + ... + 3400265.

It is an arithmetic number, because the mean of its divisors is an integer number (9732166752).

Almost surely, 2100021019964 is an apocalyptic number.

It is an amenable number.

100021019964 is an abundant number, since it is smaller than the sum of its proper divisors (133550982084).

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

100021019964 is a wasteful number, since it uses less digits than its factorization.

100021019964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772225 (or 6772223 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

Adding to 100021019964 its reverse (469910120001), we get a palindrome (569931139965).

The spelling of 100021019964 in words is "one hundred billion, twenty-one million, nineteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 1231 2462 3693 4924 7386 14772 6770987 13541974 20312961 27083948 40625922 81251844 8335084997 16670169994 25005254991 33340339988 50010509982 100021019964