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100923381 = 33132711061
BaseRepresentation
bin1100000001111…
…11011111110101
321000220102212000
412000333133311
5201314022011
614003045513
72333556156
oct600773765
9230812760
10100923381
1151a72259
1229970899
1317ba7ba0
14d59192d
158cd8356
hex603f7f5

100923381 has 32 divisors (see below), whose sum is σ = 161763840. Its totient is φ = 61819200.

The previous prime is 100923371. The next prime is 100923401. The reversal of 100923381 is 183329001.

It is not a de Polignac number, because 100923381 - 25 = 100923349 is a prime.

It is a super-2 number, since 2×1009233812 = 20371057664942322, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100923301) 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 31 ways as a sum of consecutive naturals, for example, 94591 + ... + 95651.

It is an arithmetic number, because the mean of its divisors is an integer number (5055120).

Almost surely, 2100923381 is an apocalyptic number.

It is an amenable number.

100923381 is a deficient number, since it is larger than the sum of its proper divisors (60840459).

100923381 is a wasteful number, since it uses less digits than its factorization.

100923381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100923381 is about 10046.0629601849. The cubic root of 100923381 is about 465.5831601280.

The spelling of 100923381 in words is "one hundred million, nine hundred twenty-three thousand, three hundred eighty-one".

Divisors: 1 3 9 13 27 39 117 271 351 813 1061 2439 3183 3523 7317 9549 10569 13793 28647 31707 41379 95121 124137 287531 372411 862593 2587779 3737903 7763337 11213709 33641127 100923381