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102381012 = 22326314507
BaseRepresentation
bin1100001101000…
…11010111010100
321010122111100100
412012203113110
5202202143022
614054214100
72352136626
oct606432724
9233574310
10102381012
1152878408
122a354330
13182984a6
14d850c16
158ec51ac
hex61a35d4

102381012 has 36 divisors (see below), whose sum is σ = 259264096. Its totient is φ = 34065360.

The previous prime is 102381011. The next prime is 102381023. The reversal of 102381012 is 210183201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102381011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20463 + ... + 24969.

Almost surely, 2102381012 is an apocalyptic number.

102381012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102381012 is an abundant number, since it is smaller than the sum of its proper divisors (156883084).

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

102381012 is a wasteful number, since it uses less digits than its factorization.

102381012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102381012 is about 10118.3502607886. The cubic root of 102381012 is about 467.8139190094.

The spelling of 102381012 in words is "one hundred two million, three hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 631 1262 1893 2524 3786 4507 5679 7572 9014 11358 13521 18028 22716 27042 40563 54084 81126 162252 2843917 5687834 8531751 11375668 17063502 25595253 34127004 51190506 102381012