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131154253340 = 225112965331481
BaseRepresentation
bin111101000100101100…
…1110001011000011100
3110112112100212101112112
41322021121301120130
54122100442101330
6140130150453152
712322060521305
oct1721131613034
9415470771475
10131154253340
115069317a810
12215033641b8
13c4a206c886
1464c28cb7ac
153629364795
hex1e8967161c

131154253340 has 96 divisors (see below), whose sum is σ = 311309127360. Its totient is φ = 45975910400.

The previous prime is 131154253337. The next prime is 131154253409. The reversal of 131154253340 is 43352451131.

It is a junction number, because it is equal to n+sod(n) for n = 131154253297 and 131154253306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4150400 + ... + 4181880.

It is an arithmetic number, because the mean of its divisors is an integer number (3242803410).

Almost surely, 2131154253340 is an apocalyptic number.

131154253340 is a gapful number since it is divisible by the number (10) 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 131154253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155654563680).

131154253340 is an abundant number, since it is smaller than the sum of its proper divisors (180154874020).

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

131154253340 is a wasteful number, since it uses less digits than its factorization.

131154253340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32183 (or 32181 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 131154253340 in words is "one hundred thirty-one billion, one hundred fifty-four million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 653 1276 1306 1595 2612 3190 3265 6380 6530 7183 13060 14366 18937 28732 31481 35915 37874 62962 71830 75748 94685 125924 143660 157405 189370 208307 314810 346291 378740 416614 629620 692582 833228 912949 1041535 1385164 1731455 1825898 2083070 3462910 3651796 4166140 4564745 6925820 9129490 10042439 18258980 20084878 20557093 40169756 41114186 50212195 82228372 100424390 102785465 200848780 205570930 226128023 411141860 452256046 596155697 904512092 1130640115 1192311394 2261280230 2384622788 2980778485 4522560460 5961556970 6557712667 11923113940 13115425334 26230850668 32788563335 65577126670 131154253340