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10051275132 = 2232416809807
BaseRepresentation
bin10010101110001101…
…00100100101111100
3221221111020200101100
421113012210211330
5131041111301012
64341213413100
7504036300063
oct112706444574
927844220340
1010051275132
114298756858
121b4619a190
13c425010a2
146b4cad1da
153dc63a8dc
hex2571a497c

10051275132 has 36 divisors (see below), whose sum is σ = 26027086176. Its totient is φ = 3268706880.

The previous prime is 10051275131. The next prime is 10051275151. The reversal of 10051275132 is 23157215001.

10051275132 is a `hidden beast` number, since 10 + 0 + 512 + 7 + 5 + 132 = 666.

10051275132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10051275096 and 10051275105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051275131) 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 11 ways as a sum of consecutive naturals, for example, 3403428 + ... + 3406379.

It is an arithmetic number, because the mean of its divisors is an integer number (722974616).

Almost surely, 210051275132 is an apocalyptic number.

10051275132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10051275132 is an abundant number, since it is smaller than the sum of its proper divisors (15975811044).

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

10051275132 is a wasteful number, since it uses less digits than its factorization.

10051275132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809858 (or 6809853 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10051275132 in words is "ten billion, fifty-one million, two hundred seventy-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 6809807 13619614 20429421 27239228 40858842 61288263 81717684 122576526 245153052 279202087 558404174 837606261 1116808348 1675212522 2512818783 3350425044 5025637566 10051275132