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133140322122030 = 232519127727961081
BaseRepresentation
bin11110010001011100100101…
…100110101111100100101110
3122110102002102222002221022200
4132101130211212233210232
5114422332334430401110
61151055453011322330
740021033204262256
oct3621344546574456
9573362388087280
10133140322122030
11394715479710a3
1212b235a05b03a6
13593a10361c112
1424c40513b4966
15105d442e3c6c0
hex7917259af92e

133140322122030 has 96 divisors (see below), whose sum is σ = 349233466802688. Its totient is φ = 35190696844800.

The previous prime is 133140322122019. The next prime is 133140322122047. The reversal of 133140322122030 is 30221223041331.

133140322122030 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 403 + 2 + 2 + 1 + 220 + 30 = 666.

It is a super-2 number, since 2×1331403221220302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133140322121985 and 133140322122003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9218911 + ... + 18742170.

It is an arithmetic number, because the mean of its divisors is an integer number (3637848612528).

Almost surely, 2133140322122030 is an apocalyptic number.

133140322122030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133140322122030 is an abundant number, since it is smaller than the sum of its proper divisors (216093144680658).

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

133140322122030 is a wasteful number, since it uses less digits than its factorization.

133140322122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961562 (or 27961559 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133140322122030 its reverse (30221223041331), we get a palindrome (163361545163361).

The spelling of 133140322122030 in words is "one hundred thirty-three trillion, one hundred forty billion, three hundred twenty-two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 277 382 554 573 831 955 1146 1385 1662 1719 1910 2493 2770 2865 3438 4155 4986 5730 8310 8595 12465 17190 24930 52907 105814 158721 264535 317442 476163 529070 793605 952326 1587210 2380815 4761630 27961081 55922162 83883243 139805405 167766486 251649729 279610810 419416215 503299458 838832430 1258248645 2516497290 5340566471 7745219437 10681132942 15490438874 16021699413 23235658311 26702832355 32043398826 38726097185 46471316622 48065098239 53405664710 69706974933 77452194370 80108497065 96130196478 116178291555 139413949866 160216994130 232356583110 240325491195 348534874665 480650982390 697069749330 1479336912467 2958673824934 4438010737401 7396684562335 8876021474802 13314032212203 14793369124670 22190053687005 26628064424406 44380107374010 66570161061015 133140322122030