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10131506107275 = 352790592130269
BaseRepresentation
bin1001001101101110110011…
…0100101001001110001011
31022212120012002011200020010
42103123230310221032023
52311443311030413100
633314203305203003
72063656110664050
oct223335464511613
938776162150203
1010131506107275
113256825084903
121177678a90463
13586521080097
1427052064b027
1512882510a750
hex936ecd2938b

10131506107275 has 48 divisors (see below), whose sum is σ = 19145844230400. Its totient is φ = 4631032210560.

The previous prime is 10131506107273. The next prime is 10131506107391. The reversal of 10131506107275 is 57270160513101.

It is not a de Polignac number, because 10131506107275 - 21 = 10131506107273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10131506107271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3690841 + ... + 5821109.

It is an arithmetic number, because the mean of its divisors is an integer number (398871754800).

Almost surely, 210131506107275 is an apocalyptic number.

10131506107275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10131506107275 is a deficient number, since it is larger than the sum of its proper divisors (9014338123125).

10131506107275 is a wasteful number, since it uses less digits than its factorization.

10131506107275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139348 (or 2139343 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 10131506107275 in words is "ten trillion, one hundred thirty-one billion, five hundred six million, one hundred seven thousand, two hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 9059 27177 45295 63413 135885 190239 226475 317065 679425 951195 1585325 2130269 4755975 6390807 10651345 14911883 31954035 44735649 53256725 74559415 159770175 223678245 372797075 1118391225 19298106871 57894320613 96490534355 135086748097 289471603065 405260244291 482452671775 675433740485 1447358015325 2026301221455 3377168702425 10131506107275