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133013312203032 = 23323979859471997
BaseRepresentation
bin11110001111100110010011…
…001110010110100100011000
3122102221221121102112112201200
4132033212103032112210120
5114413242230410444112
61150521245544114200
740005615605626242
oct3617462316264430
9572857542475650
10133013312203032
11394226a10a8098
1212b02a55165960
13592b1420680b1
1424bbc4308d092
151059eac85dcdc
hex78f993396918

133013312203032 has 96 divisors (see below), whose sum is σ = 361189200730800. Its totient is φ = 44221509142272.

The previous prime is 133013312203007. The next prime is 133013312203039. The reversal of 133013312203032 is 230302213310331.

133013312203032 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 331 + 2 + 20 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133013312202987 and 133013312203005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013312203039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281573658 + ... + 282045654.

Almost surely, 2133013312203032 is an apocalyptic number.

133013312203032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133013312203032 is an abundant number, since it is smaller than the sum of its proper divisors (228175888527768).

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

133013312203032 is a wasteful number, since it uses less digits than its factorization.

133013312203032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482265 (or 482258 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133013312203032 its reverse (230302213310331), we get a palindrome (363315525513363).

The spelling of 133013312203032 in words is "one hundred thirty-three trillion, thirteen billion, three hundred twelve million, two hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 397 794 1191 1588 2382 3176 3573 4764 7146 9528 9859 14292 19718 28584 29577 39436 59154 78872 88731 118308 177462 236616 354924 471997 709848 943994 1415991 1887988 2831982 3775976 3914023 4247973 5663964 7828046 8495946 11327928 11742069 15656092 16991892 23484138 31312184 33983784 35226207 46968276 70452414 93936552 140904828 187382809 281809656 374765618 562148427 749531236 1124296854 1499062472 1686445281 2248593708 3372890562 4497187416 4653418423 6745781124 9306836846 13491562248 13960255269 18613673692 27920510538 37227347384 41880765807 55841021076 83761531614 111682042152 167523063228 335046126456 1847407113931 3694814227862 5542221341793 7389628455724 11084442683586 14779256911448 16626664025379 22168885367172 33253328050758 44337770734344 66506656101516 133013312203032