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133431001000143 = 371119145752312653
BaseRepresentation
bin11110010101101011010011…
…011010101010100011001111
3122111102212201212200220122020
4132111223103122222203033
5114442113142224001033
61151441204452421223
740051033410053310
oct3625532332524317
9574385655626566
10133431001000143
1139573851586580
1212b6b9a4317813
13595b6492b5992
1424d41485d0607
151065ca713c6b3
hex795ad36aa8cf

133431001000143 has 128 divisors (see below), whose sum is σ = 223901523247104. Its totient is φ = 68664043699200.

The previous prime is 133431001000139. The next prime is 133431001000207. The reversal of 133431001000143 is 341000100134331.

It is not a de Polignac number, because 133431001000143 - 22 = 133431001000139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431001008143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10545398005 + ... + 10545410657.

It is an arithmetic number, because the mean of its divisors is an integer number (1749230650368).

Almost surely, 2133431001000143 is an apocalyptic number.

133431001000143 is a deficient number, since it is larger than the sum of its proper divisors (90470522246961).

133431001000143 is a wasteful number, since it uses less digits than its factorization.

133431001000143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133431001000143 its reverse (341000100134331), we get a palindrome (474431101134474).

The spelling of 133431001000143 in words is "one hundred thirty-three trillion, four hundred thirty-one billion, one million, one hundred forty-three", and thus it is an aban number.

Divisors: 1 3 7 11 21 33 77 191 231 457 523 573 1337 1371 1569 2101 3199 3661 4011 5027 5753 6303 9597 10983 12653 14707 15081 17259 35189 37959 40271 44121 87287 88571 99893 105567 120813 139183 239011 261861 265713 299679 417549 611009 699251 717033 960157 974281 1098823 1673077 1833027 2097753 2416723 2629121 2880471 2922843 3296469 5019231 5782421 6617519 6721099 7250169 7691761 7887363 16917061 17347263 18403847 19852557 20163297 23075283 26583953 40476947 45651101 46322633 50751183 55211541 63606631 72792709 79751859 121430841 136953303 138967899 186087671 190819893 218378127 319557707 445246417 502162111 509548963 558263013 958673121 1104442411 1263946129 1335739251 1506486333 1528646889 3024206183 3313327233 3515134777 3791838387 7731096877 8847622903 9072618549 10545404331 12148866521 13903407419 21169443281 23193290631 26542868709 33266268013 36446599563 41710222257 63508329843 85042065647 97323851933 99798804039 232863876091 255126196941 291971555799 577623380953 698591628273 1732870142859 4043363666671 6353857190483 12130091000013 19061571571449 44477000333381 133431001000143