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133002121233429 = 347599907431759
BaseRepresentation
bin11110001111011011111000…
…001100001100010000010101
3122102220212201111202101110000
4132033123320030030100111
5114413101321013432204
61150512155254521513
740005041360146560
oct3617337014142025
9572825644671400
10133002121233429
1139418979094a88
1212b00851366299
13592a07a6c88a6
1424bb4a0aab4d7
151059a5514b039
hex78f6f830c415

133002121233429 has 80 divisors (see below), whose sum is σ = 227695716864000. Its totient is φ = 75790502270496.

The previous prime is 133002121233367. The next prime is 133002121233433. The reversal of 133002121233429 is 924332121200331.

133002121233429 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 212 + 12 + 3 + 3 + 429 = 666.

It is not a de Polignac number, because 133002121233429 - 28 = 133002121233173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133002121233393 and 133002121233402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002121233479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 307831252 + ... + 308263010.

It is an arithmetic number, because the mean of its divisors is an integer number (2846196460800).

Almost surely, 2133002121233429 is an apocalyptic number.

It is an amenable number.

133002121233429 is a deficient number, since it is larger than the sum of its proper divisors (94693595630571).

133002121233429 is an equidigital number, since it uses as much as digits as its factorization.

133002121233429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433284 (or 433275 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 133002121233429 in words is "one hundred thirty-three trillion, two billion, one hundred twenty-one million, two hundred thirty-three thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 567 599 907 1797 2721 4193 5391 6349 8163 12579 16173 19047 24489 37737 48519 57141 73467 113211 171423 339633 431759 514269 543293 1295277 1629879 3022313 3803051 3885831 4889637 9066939 11409153 11657493 14668911 27200817 34227459 34972479 44006733 81602451 102682377 244807353 258623641 308047131 391605413 775870923 1174816239 1810365487 2327612769 2741237891 3524448717 5431096461 6982838307 8223713673 10573346151 16293289383 20948514921 24671141019 31720038453 48879868149 74013423057 146639604447 222040269171 234571642387 703714927161 1642001496709 2111144781483 4926004490127 6333434344449 14778013470381 19000303033347 44334040411143 133002121233429