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10131130044 = 22327224123831
BaseRepresentation
bin10010110111101110…
…01100011010111100
3222011001111201201200
421123313030122330
5131222032130134
64353145135500
7506026120200
oct113367143274
928131451650
1010131130044
114329838a52
121b68a8a590
13c55c10409
146c1738b00
153e4661499
hex25bdcc6bc

10131130044 has 108 divisors (see below), whose sum is σ = 29915213328. Its totient is φ = 2882476800.

The previous prime is 10131130027. The next prime is 10131130063. The reversal of 10131130044 is 44003113101.

10131130044 is a `hidden beast` number, since 10 + 1 + 311 + 300 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131129999 and 10131130026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413209 + ... + 437039.

It is an arithmetic number, because the mean of its divisors is an integer number (276992716).

Almost surely, 210131130044 is an apocalyptic number.

10131130044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131130044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957606664).

10131130044 is an abundant number, since it is smaller than the sum of its proper divisors (19784083284).

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

10131130044 is a wasteful number, since it uses less digits than its factorization.

10131130044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24096 (or 24084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131130044 its reverse (44003113101), we get a palindrome (54134243145).

The spelling of 10131130044 in words is "ten billion, one hundred thirty-one million, one hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 241 252 294 441 482 588 723 882 964 1446 1687 1764 2169 2892 3374 4338 5061 6748 8676 10122 11809 15183 20244 23618 23831 30366 35427 47236 47662 60732 70854 71493 95324 106281 141708 142986 166817 212562 214479 285972 333634 425124 428958 500451 667268 857916 1000902 1167719 1501353 2001804 2335438 3002706 3503157 4670876 5743271 6005412 7006314 10509471 11486542 14012628 17229813 21018942 22973084 34459626 40202897 42037884 51689439 68919252 80405794 103378878 120608691 160811588 206757756 241217382 281420279 361826073 482434764 562840558 723652146 844260837 1125681116 1447304292 1688521674 2532782511 3377043348 5065565022 10131130044