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133010120323320 = 233519138914918339
BaseRepresentation
bin11110001111100011010100…
…111110010011000011111000
3122102221122100222110020220120
4132033203110332103003320
5114413214211300321240
61150520001123053240
740005443530246422
oct3617432476230370
9572848328406816
10133010120323320
11394213033a0679
1212b02304211220
13592aa539b0686
1424bba1d1b9812
151059d72516ad0
hex78f8d4f930f8

133010120323320 has 128 divisors (see below), whose sum is σ = 402150707712000. Its totient is φ = 35192956075520.

The previous prime is 133010120323277. The next prime is 133010120323321. The reversal of 133010120323320 is 23323021010331.

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 (133010120323321) 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, 1456711 + ... + 16375049.

It is an arithmetic number, because the mean of its divisors is an integer number (3141802404000).

Almost surely, 2133010120323320 is an apocalyptic number.

133010120323320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133010120323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201075353856000).

133010120323320 is an abundant number, since it is smaller than the sum of its proper divisors (269140587388680).

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

133010120323320 is a wasteful number, since it uses less digits than its factorization.

133010120323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14918933 (or 14918929 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133010120323320 its reverse (23323021010331), we get a palindrome (156333141333651).

The spelling of 133010120323320 in words is "one hundred thirty-three trillion, ten billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 389 573 764 778 955 1146 1167 1528 1556 1910 1945 2292 2334 2865 3112 3820 3890 4584 4668 5730 5835 7640 7780 9336 11460 11670 15560 22920 23340 46680 74299 148598 222897 297196 371495 445794 594392 742990 891588 1114485 1485980 1783176 2228970 2971960 4457940 8915880 14918339 29836678 44755017 59673356 74591695 89510034 119346712 149183390 179020068 223775085 298366780 358040136 447550170 596733560 895100340 1790200680 2849402749 5698805498 5803233871 8548208247 11397610996 11606467742 14247013745 17096416494 17409701613 22795221992 23212935484 28494027490 29016169355 34192832988 34819403226 42741041235 46425870968 56988054980 58032338710 68385665976 69638806452 85482082470 87048508065 113976109960 116064677420 139277612904 170964164940 174097016130 232129354840 341928329880 348194032260 696388064520 1108417669361 2216835338722 3325253008083 4433670677444 5542088346805 6650506016166 8867341354888 11084176693610 13301012032332 16626265040415 22168353387220 26602024064664 33252530080830 44336706774440 66505060161660 133010120323320