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131054185150 = 252723113144071
BaseRepresentation
bin111101000001101110…
…0000010101010111110
3110112021101120101210021
41322003130002222332
54121344332411100
6140112214002354
712316434123310
oct1720334025276
9415241511707
10131054185150
1150641742029
12214959463ba
13c487404025
1464b34bd7b0
153620699a1a
hex1e83702abe

131054185150 has 96 divisors (see below), whose sum is σ = 293270658048. Its totient is φ = 42598617600.

The previous prime is 131054185133. The next prime is 131054185151. The reversal of 131054185150 is 51581450131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131054185151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 837615 + ... + 981685.

It is an arithmetic number, because the mean of its divisors is an integer number (3054902688).

Almost surely, 2131054185150 is an apocalyptic number.

131054185150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131054185150 is an abundant number, since it is smaller than the sum of its proper divisors (162216472898).

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

131054185150 is a wasteful number, since it uses less digits than its factorization.

131054185150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144226 (or 144221 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 34.

The spelling of 131054185150 in words is "one hundred thirty-one billion, fifty-four million, one hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 23 25 35 46 50 70 113 115 161 175 226 230 322 350 565 575 791 805 1130 1150 1582 1610 2599 2825 3955 4025 5198 5650 7910 8050 12995 18193 19775 25990 36386 39550 64975 90965 129950 144071 181930 288142 454825 720355 909650 1008497 1440710 2016994 3313633 3601775 5042485 6627266 7203550 10084970 16280023 16568165 23195431 25212425 32560046 33136330 46390862 50424850 81400115 82840825 113960161 115977155 162800230 165681650 227920322 231954310 374440529 407000575 569800805 579885775 748881058 814001150 1139601610 1159771550 1872202645 2621083703 2849004025 3744405290 5242167406 5698008050 9361013225 13105418515 18722026450 26210837030 65527092575 131054185150