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133023356132700 = 2235211142328327553
BaseRepresentation
bin11110001111101111101001…
…111000111001110101011100
3122102222220112101222001000210
4132033233221320321311130
5114413423313132221300
61150530030340252420
740006422525624105
oct3617575170716534
9572886471861023
10133023356132700
1139426985697110
1212b049989a1110
13592c082b96947
1424bc516da93ac
15105a3994e8050
hex78fbe9e39d5c

133023356132700 has 144 divisors (see below), whose sum is σ = 420165158708736. Its totient is φ = 32225423155200.

The previous prime is 133023356132599. The next prime is 133023356132701. The reversal of 133023356132700 is 7231653320331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133023356132701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9467877 + ... + 18859676.

It is an arithmetic number, because the mean of its divisors is an integer number (2917813602144).

Almost surely, 2133023356132700 is an apocalyptic number.

133023356132700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133023356132700 is an abundant number, since it is smaller than the sum of its proper divisors (287141802576036).

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

133023356132700 is a wasteful number, since it uses less digits than its factorization.

133023356132700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28329004 (or 28328997 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 39.

The spelling of 133023356132700 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred fifty-six million, one hundred thirty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1423 1650 2846 3300 4269 5692 7115 8538 14230 15653 17076 21345 28460 31306 35575 42690 46959 62612 71150 78265 85380 93918 106725 142300 156530 187836 213450 234795 313060 391325 426900 469590 782650 939180 1173975 1565300 2347950 4695900 28327553 56655106 84982659 113310212 141637765 169965318 283275530 311603083 339930636 424913295 566551060 623206166 708188825 849826590 934809249 1246412332 1416377650 1558015415 1699653180 1869618498 2124566475 2832755300 3116030830 3739236996 4249132950 4674046245 6232061660 7790077075 8498265900 9348092490 15580154150 18696184980 23370231225 31160308300 40310107919 46740462450 80620215838 93480924900 120930323757 161240431676 201550539595 241860647514 403101079190 443411187109 483721295028 604651618785 806202158380 886822374218 1007752697975 1209303237570 1330233561327 1773644748436 2015505395950 2217055935545 2418606475140 2660467122654 3023258093925 4031010791900 4434111871090 5320934245308 6046516187850 6651167806635 8868223742180 11085279677725 12093032375700 13302335613270 22170559355450 26604671226540 33255839033175 44341118710900 66511678066350 133023356132700