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131353450111216 = 241031075717011861
BaseRepresentation
bin11101110111011100011011…
…101110111110000011110000
3122020002021012210011201110201
4131313130123232332003300
5114204043331212024331
61143210535243004544
736444654641633164
oct3567343356760360
9566067183151421
10131353450111216
113894275a235053
1212895218809754
13583a76713c068
14246178036aca4
15102bc10bb8a61
hex77771bbbe0f0

131353450111216 has 160 divisors (see below), whose sum is σ = 260334428530176. Its totient is φ = 64192141440000.

The previous prime is 131353450111189. The next prime is 131353450111231. The reversal of 131353450111216 is 612111054353131.

It is a happy number.

It is a super-2 number, since 2×1313534501112162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70582186126 + ... + 70582187986.

Almost surely, 2131353450111216 is an apocalyptic number.

131353450111216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131353450111216 is a deficient number, since it is larger than the sum of its proper divisors (128980978418960).

131353450111216 is a wasteful number, since it uses less digits than its factorization.

131353450111216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 131353450111216 in words is "one hundred thirty-one trillion, three hundred fifty-three billion, four hundred fifty million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 103 107 206 214 412 428 571 701 824 856 1142 1402 1648 1712 1861 2284 2804 3722 4568 5608 7444 9136 11021 11216 14888 22042 29776 44084 58813 61097 72203 75007 88168 117626 122194 144406 150014 176336 191683 199127 235252 244388 288812 300028 383366 398254 400271 470504 488776 577624 600056 766732 796508 800542 941008 977552 1062631 1155248 1200112 1304561 1533464 1593016 1601084 2125262 2609122 3066928 3186032 3202168 4250524 5218244 6292991 6404336 7725721 8501048 10436488 12585982 15451442 17002096 20510081 20872976 25171964 30902884 41020162 41227913 42828997 50343928 61805768 82040324 82455826 85657994 100687856 109450993 113701517 123611536 134369783 139588027 164080648 164911652 171315988 218901986 227403034 268739566 279176054 328161296 329823304 342631976 437803972 454806068 537479132 558352108 659646608 685263952 744904331 875607944 909612136 1074958264 1116704216 1489808662 1751215888 1819224272 2149916528 2233408432 2979617324 4411386691 5959234648 8822773382 11711256251 11918469296 14377566781 17645546764 23422512502 28755133562 35291093528 46845025004 57510267124 70582187056 76725146093 79704763417 93690050008 115020534248 153450292186 159409526834 187380100016 230041068496 306900584372 318819053668 613801168744 637638107336 1227602337488 1275276214672 8209590631951 16419181263902 32838362527804 65676725055608 131353450111216