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131123221554144 = 25322942114167421
BaseRepresentation
bin11101110100000110000001…
…000010101110001111100000
3122012021020221202112020020110
4131310012001002232033200
5114141310324204213034
61142513102034011320
736422224444324161
oct3564060102561740
9565236852466213
10131123221554144
1138864056212586
1212858685716b40
135821b362b2531
14245457d747768
151025c38a1ede9
hex7741810ae3e0

131123221554144 has 96 divisors (see below), whose sum is σ = 346522674788640. Its totient is φ = 43413508454400.

The previous prime is 131123221554107. The next prime is 131123221554163. The reversal of 131123221554144 is 441455122321131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171554 + ... + 16338974.

It is an arithmetic number, because the mean of its divisors is an integer number (3609611195715).

Almost surely, 2131123221554144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123221554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173261337394320).

131123221554144 is an abundant number, since it is smaller than the sum of its proper divisors (215399453234496).

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

131123221554144 is a wasteful number, since it uses less digits than its factorization.

131123221554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14168084 (or 14168076 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

Adding to 131123221554144 its reverse (441455122321131), we get a palindrome (572578343875275).

The spelling of 131123221554144 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, two hundred twenty-one million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 421 458 687 842 916 1263 1374 1684 1832 2526 2748 3368 3664 5052 5496 6736 7328 10104 10992 13472 20208 21984 40416 96409 192818 289227 385636 578454 771272 1156908 1542544 2313816 3085088 4627632 9255264 14167421 28334842 42502263 56669684 85004526 113339368 170009052 226678736 340018104 453357472 680036208 1360072416 3244339409 5964484241 6488678818 9733018227 11928968482 12977357636 17893452723 19466036454 23857936964 25954715272 35786905446 38932072908 47715873928 51909430544 71573810892 77864145816 95431747856 103818861088 143147621784 155728291632 190863495712 286295243568 311456583264 572590487136 1365866891189 2731733782378 4097600673567 5463467564756 8195201347134 10926935129512 16390402694268 21853870259024 32780805388536 43707740518048 65561610777072 131123221554144