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10131132132310 = 257795033642209
BaseRepresentation
bin1001001101101101011010…
…0010000010101111010110
31022212112020000110210000111
42103123112202002233112
52311442024311213220
633314102225433234
72063643620154040
oct223332642025726
938775200423014
1010131132132310
113256652a74992
12117759379b81a
13586491751417
142704c6adca90
1512880238815a
hex936d6882bd6

10131132132310 has 64 divisors (see below), whose sum is σ = 21146962636800. Its totient is φ = 3422743114752.

The previous prime is 10131132132287. The next prime is 10131132132311. The reversal of 10131132132310 is 1323123113101.

10131132132310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101311321323102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131132132311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960486 + ... + 4602694.

It is an arithmetic number, because the mean of its divisors is an integer number (330421291200).

Almost surely, 210131132132310 is an apocalyptic number.

10131132132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131132132310 is an abundant number, since it is smaller than the sum of its proper divisors (11015830504490).

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

10131132132310 is a wasteful number, since it uses less digits than its factorization.

10131132132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642805.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10131132132310 its reverse (1323123113101), we get a palindrome (11454255245411).

The spelling of 10131132132310 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 79 158 395 503 553 790 1006 1106 2515 2765 3521 5030 5530 7042 17605 35210 39737 79474 198685 278159 397370 556318 1390795 2781590 3642209 7284418 18211045 25495463 36422090 50990926 127477315 254954630 287734511 575469022 1438672555 1832031127 2014141577 2877345110 3664062254 4028283154 9160155635 10070707885 12824217889 18320311270 20141415770 25648435778 64121089445 128242178890 144730459033 289460918066 723652295165 1013113213231 1447304590330 2026226426462 5065566066155 10131132132310