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100055524131 = 3318182924697
BaseRepresentation
bin101110100101111000…
…1100010001100100011
3100120021001010021001000
41131023301202030203
53114403203233011
6113544225043043
710141316631303
oct1351361421443
9316231107030
10100055524131
113948480a212
1217484486483
139587180364
144bb2595603
152909056356
hex174bc62323

100055524131 has 32 divisors (see below), whose sum is σ = 149235195200. Its totient is φ = 66252453120.

The previous prime is 100055524109. The next prime is 100055524157. The reversal of 100055524131 is 131425550001.

100055524131 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 5 + 524 + 131 = 666.

It is not a de Polignac number, because 100055524131 - 25 = 100055524099 is a prime.

It is a super-2 number, since 2×1000555241312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100055524095 and 100055524104.

It is not an unprimeable number, because it can be changed into a prime (100055524631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4038975 + ... + 4063671.

It is an arithmetic number, because the mean of its divisors is an integer number (4663599850).

Almost surely, 2100055524131 is an apocalyptic number.

100055524131 is a deficient number, since it is larger than the sum of its proper divisors (49179671069).

100055524131 is a wasteful number, since it uses less digits than its factorization.

100055524131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25716 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 100055524131 in words is "one hundred billion, fifty-five million, five hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 181 543 829 1629 2487 4887 7461 22383 24697 74091 150049 222273 450147 666819 1350441 4051323 4470157 13410471 20473813 40231413 61421439 120694239 184264317 552792951 3705760153 11117280459 33351841377 100055524131