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133323020120010 = 23577331672746091
BaseRepresentation
bin11110010100000110101111…
…010000010010111111001010
3122111001120000111121212000110
4132110012233100102333022
5114433331021122320020
61151315425551415150
740040161503526560
oct3624065720227712
9574046014555013
10133323020120010
1139531a80152076
1212b52a898244b6
1359513cb1c8a76
1424ccc23641a30
1510630874328e0
hex7941af412fca

133323020120010 has 128 divisors (see below), whose sum is σ = 370812579692544. Its totient is φ = 30046881968640.

The previous prime is 133323020119979. The next prime is 133323020120057. The reversal of 133323020120010 is 10021020323331.

133323020120010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47177065 + ... + 49923155.

It is an arithmetic number, because the mean of its divisors is an integer number (2896973278848).

Almost surely, 2133323020120010 is an apocalyptic number.

133323020120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133323020120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185406289846272).

133323020120010 is an abundant number, since it is smaller than the sum of its proper divisors (237489559572534).

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

133323020120010 is a wasteful number, since it uses less digits than its factorization.

133323020120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749348.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133323020120010 its reverse (10021020323331), we get a palindrome (143344040443341).

The spelling of 133323020120010 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, twenty million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 3167 5110 6334 7665 9501 15330 15835 19002 22169 31670 44338 47505 66507 95010 110845 133014 221690 231191 332535 462382 665070 693573 1155955 1387146 1618337 2311910 2746091 3236674 3467865 4855011 5492182 6935730 8091685 8238273 9710022 13730455 16183370 16476546 19222637 24275055 27460910 38445274 41191365 48550110 57667911 82382730 96113185 115335822 192226370 200464643 288339555 400929286 576679110 601393929 1002323215 1202787858 1403252501 2004646430 2806505002 3006969645 4209757503 6013939290 7016262505 8419515006 8696870197 14032525010 17393740394 21048787515 26090610591 42097575030 43484350985 52181221182 60878091379 86968701970 121756182758 130453052955 182634274137 260906105910 304390456895 365268548274 608780913790 634871524381 913171370685 1269743048762 1826342741370 1904614573143 3174357621905 3809229146286 4444100670667 6348715243810 8888201341334 9523072865715 13332302012001 19046145731430 22220503353335 26664604024002 44441006706670 66661510060005 133323020120010