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101544135132 = 22311769273751
BaseRepresentation
bin101111010010010000…
…0001000100111011100
3100201002210012112102210
41132210200020213130
53130430244311012
6114352043120420
710223233623126
oct1364440104734
9321083175383
10101544135132
113a079020740
121781ab13110
1397636b577b
144cb4172216
152994aa123c
hex17a48089dc

101544135132 has 24 divisors (see below), whose sum is σ = 258475980672. Its totient is φ = 30770950000.

The previous prime is 101544135107. The next prime is 101544135137. The reversal of 101544135132 is 231531445101.

It is a super-2 number, since 2×1015441351322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101544135132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101544135137) 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, 384636744 + ... + 384637007.

It is an arithmetic number, because the mean of its divisors is an integer number (10769832528).

Almost surely, 2101544135132 is an apocalyptic number.

101544135132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101544135132 is an abundant number, since it is smaller than the sum of its proper divisors (156931845540).

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

101544135132 is a wasteful number, since it uses less digits than its factorization.

101544135132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769273769 (or 769273767 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 101544135132 in words is "one hundred one billion, five hundred forty-four million, one hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 769273751 1538547502 2307821253 3077095004 4615642506 8462011261 9231285012 16924022522 25386033783 33848045044 50772067566 101544135132