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131140132233420 = 22355715338171707
BaseRepresentation
bin11101110100010101110000…
…111111110110000011001100
3122012022212121021221202011010
4131310111300333312003030
5114142044442322432140
61142524540044325220
736423363504612132
oct3564256077660314
9565285537852133
10131140132233420
1138870243914182
121285ba04b43810
1358235cc930c2b
142455305615752
1510263c8451880
hex774570ff60cc

131140132233420 has 96 divisors (see below), whose sum is σ = 367847459755776. Its totient is φ = 34908316473600.

The previous prime is 131140132233419. The next prime is 131140132233421. The reversal of 131140132233420 is 24332231041131.

It is an interprime number because it is at equal distance from previous prime (131140132233419) and next prime (131140132233421).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131140132233421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1828797207 + ... + 1828868913.

It is an arithmetic number, because the mean of its divisors is an integer number (3831744372456).

Almost surely, 2131140132233420 is an apocalyptic number.

131140132233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131140132233420 is an abundant number, since it is smaller than the sum of its proper divisors (236707327522356).

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

131140132233420 is a wasteful number, since it uses less digits than its factorization.

131140132233420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125671 (or 125669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131140132233420 its reverse (24332231041131), we get a palindrome (155472363274551).

The spelling of 131140132233420 in words is "one hundred thirty-one trillion, one hundred forty billion, one hundred thirty-two million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 571 1142 1713 2284 2855 3426 5710 6852 8565 11420 17130 34260 53381 71707 106762 143414 160143 213524 215121 266905 286828 320286 358535 430242 533810 640572 717070 800715 860484 1067620 1075605 1434140 1601430 2151210 3202860 4302420 30480551 40944697 60961102 81889394 91441653 121922204 122834091 152402755 163778788 182883306 204723485 245668182 304805510 365766612 409446970 457208265 491336364 609611020 614170455 818893940 914416530 1228340910 1828833060 2456681820 3827791367 7655582734 11483374101 15311165468 19138956835 22966748202 38277913670 45933496404 57416870505 76555827340 114833741010 229667482020 2185668870557 4371337741114 6557006611671 8742675482228 10928344352785 13114013223342 21856688705570 26228026446684 32785033058355 43713377411140 65570066116710 131140132233420