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13102001130132 = 22364493141677
BaseRepresentation
bin1011111010101000110000…
…0111111000101010010100
31201101112112222121211000000
42332222030013320222110
53204130344242131012
643510550510451300
72521405542036465
oct276521407705224
951345488554000
1013102001130132
1141a1589084552
121577309803b30
13740689c49715
143341d6b56d6c
1517ac2e408ddc
hexbea8c1f8a94

13102001130132 has 42 divisors (see below), whose sum is σ = 34377026978378. Its totient is φ = 4367333709072.

The previous prime is 13102001130107. The next prime is 13102001130221. The reversal of 13102001130132 is 23103110020131.

13102001130132 is a `hidden beast` number, since 1 + 310 + 20 + 0 + 1 + 1 + 301 + 32 = 666.

13102001130132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10579640948496 + 2522360181636 = 3252636^2 + 1588194^2 .

It is a super-2 number, since 2×131020011301322 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2246567923 + ... + 2246573754.

Almost surely, 213102001130132 is an apocalyptic number.

13102001130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13102001130132 is an abundant number, since it is smaller than the sum of its proper divisors (21275025848246).

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

13102001130132 is an equidigital number, since it uses as much as digits as its factorization.

13102001130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493141699 (or 4493141682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13102001130132 its reverse (23103110020131), we get a palindrome (36205111150263).

The spelling of 13102001130132 in words is "thirteen trillion, one hundred two billion, one million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4493141677 8986283354 13479425031 17972566708 26958850062 40438275093 53917700124 80876550186 121314825279 161753100372 242629650558 363944475837 485259301116 727888951674 1091833427511 1455777903348 2183666855022 3275500282533 4367333710044 6551000565066 13102001130132