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10100809188 = 223513974761
BaseRepresentation
bin10010110100000111…
…00001110111100100
3222001221110021100000
421122003201313210
5131141301343223
64350143221300
7505210314201
oct113203416744
928057407300
1010100809188
114313709498
121b5a8a7830
13c4c855392
146bb6c4ca8
153e1b72543
hex25a0e1de4

10100809188 has 72 divisors (see below), whose sum is σ = 26669100640. Its totient is φ = 3342669120.

The previous prime is 10100809163. The next prime is 10100809211. The reversal of 10100809188 is 88190800101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97728 + ... + 172488.

Almost surely, 210100809188 is an apocalyptic number.

10100809188 is a gapful number since it is divisible by the number (18) 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 10100809188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334550320).

10100809188 is an abundant number, since it is smaller than the sum of its proper divisors (16568291452).

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

10100809188 is a wasteful number, since it uses less digits than its factorization.

10100809188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74919 (or 74905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 10100809188 in words is "ten billion, one hundred million, eight hundred nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 834 972 1251 1668 2502 3753 5004 7506 11259 15012 22518 33777 45036 67554 74761 135108 149522 224283 299044 448566 672849 897132 1345698 2018547 2691396 4037094 6055641 8074188 10391779 12111282 18166923 20783558 24222564 31175337 36333846 41567116 62350674 72667692 93526011 124701348 187052022 280578033 374104044 561156066 841734099 1122312132 1683468198 2525202297 3366936396 5050404594 10100809188