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131143112120 = 23523294915409
BaseRepresentation
bin111101000100010111…
…1010001010110111000
3110112111120220100122202
41322020233101112320
54122040114041440
6140125112005332
712321564026516
oct1721057212670
9415446810582
10131143112120
1150687960199
12214bb690848
13c49c96b737
1464c122b4b6
1536283b3615
hex1e88bd15b8

131143112120 has 64 divisors (see below), whose sum is σ = 318518568000. Its totient is φ = 48446261248.

The previous prime is 131143112117. The next prime is 131143112171. The reversal of 131143112120 is 21211341131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131143112092 and 131143112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431025 + ... + 2484384.

It is an arithmetic number, because the mean of its divisors is an integer number (4976852625).

Almost surely, 2131143112120 is an apocalyptic number.

131143112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131143112120 is an abundant number, since it is smaller than the sum of its proper divisors (187375455880).

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

131143112120 is a wasteful number, since it uses less digits than its factorization.

131143112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915472 (or 4915468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131143112120 its reverse (21211341131), we get a palindrome (152354453251).

The spelling of 131143112120 in words is "one hundred thirty-one billion, one hundred forty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 13340 26680 4915409 9830818 19661636 24577045 39323272 49154090 98308180 113054407 142546861 196616360 226108814 285093722 452217628 565272035 570187444 712734305 904435256 1130544070 1140374888 1425468610 2261088140 2850937220 3278577803 4522176280 5701874440 6557155606 13114311212 16392889015 26228622424 32785778030 65571556060 131143112120