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10275132132 = 22321915022123
BaseRepresentation
bin10011001000111001…
…00001001011100100
3222112002110210110100
421210130201023210
5132020413212012
64415331424100
7512425116306
oct114434411344
928462423410
1010275132132
1143a3053941
121ba9155030
13c799bc255
146d6901976
154021088dc
hex2647212e4

10275132132 has 36 divisors (see below), whose sum is σ = 27340265680. Its totient is φ = 3244778352.

The previous prime is 10275132067. The next prime is 10275132137. The reversal of 10275132132 is 23123157201.

10275132132 is a `hidden beast` number, since 10 + 2 + 7 + 513 + 2 + 132 = 666.

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 = 10275132096 and 10275132105.

It is not an unprimeable number, because it can be changed into a prime (10275132137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7510378 + ... + 7511745.

Almost surely, 210275132132 is an apocalyptic number.

10275132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10275132132 is an abundant number, since it is smaller than the sum of its proper divisors (17065133548).

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

10275132132 is a wasteful number, since it uses less digits than its factorization.

10275132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022152 (or 15022147 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10275132132 its reverse (23123157201), we get a palindrome (33398289333).

The spelling of 10275132132 in words is "ten billion, two hundred seventy-five million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 15022123 30044246 45066369 60088492 90132738 135199107 180265476 270398214 285420337 540796428 570840674 856261011 1141681348 1712522022 2568783033 3425044044 5137566066 10275132132