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133012223112120 = 233511175927460923
BaseRepresentation
bin11110001111100101010010…
…010011110011001110111000
3122102221211210112012222212020
4132033211102103303032320
5114413233013104041440
61150520545521114440
740005546612540132
oct3617452223631670
9572854715188766
10133012223112120
1139422192363a60
1212b027b0488a20
13592acca5369c1
1424bbb7c590052
151059e46e303d0
hex78f9524f33b8

133012223112120 has 128 divisors (see below), whose sum is σ = 460919361450240. Its totient is φ = 30348599920640.

The previous prime is 133012223112089. The next prime is 133012223112127. The reversal of 133012223112120 is 21211322210331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012223112127) 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, 2963708022 + ... + 2963752901.

It is an arithmetic number, because the mean of its divisors is an integer number (3600932511330).

Almost surely, 2133012223112120 is an apocalyptic number.

133012223112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133012223112120 is an abundant number, since it is smaller than the sum of its proper divisors (327907138338120).

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

133012223112120 is a wasteful number, since it uses less digits than its factorization.

133012223112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927460965 (or 5927460961 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133012223112120 its reverse (21211322210331), we get a palindrome (154223545322451).

The spelling of 133012223112120 in words is "one hundred thirty-three trillion, twelve billion, two hundred twenty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 5927460923 11854921846 17782382769 23709843692 29637304615 35564765538 47419687384 59274609230 65202070153 71129531076 88911913845 100766835691 118549218460 130404140306 142259062152 177823827690 195606210459 201533671382 237098436920 260808280612 302300507073 326010350765 355647655380 391212420918 403067342764 503834178455 521616561224 604601014146 652020701530 711295310760 782424841836 806134685528 978031052295 1007668356910 1108435192601 1209202028292 1304041403060 1511502535365 1564849683672 1956062104590 2015336713820 2216870385202 2418404056584 2608082806120 3023005070730 3325305577803 3912124209180 4030673427640 4433740770404 5542175963005 6046010141460 6650611155606 7824248418360 8867481540808 11084351926010 12092020282920 13301222311212 16626527889015 22168703852020 26602444622424 33253055778030 44337407704040 66506111556060 133012223112120