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133003240130010 = 23523577899937123
BaseRepresentation
bin11110001111011100111010…
…111000011100010111011010
3122102220222121111011020000010
4132033130322320130113122
5114413111113433130020
61150512502304422350
740005111164464665
oct3617347270342732
9572828544136003
10133003240130010
11394193a27365a8
1212b00b040179b6
13592a1c8464683
1424bb5695286dc
151059abd4b5de0
hex78f73ae1c5da

133003240130010 has 128 divisors (see below), whose sum is σ = 333709714944000. Its totient is φ = 33861992288256.

The previous prime is 133003240129913. The next prime is 133003240130023. The reversal of 133003240130010 is 10031042300331.

133003240130010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1330032401300102 (a number of 29 digits) contains 22 as substring.

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, 3582753309 + ... + 3582790431.

It is an arithmetic number, because the mean of its divisors is an integer number (2607107148000).

Almost surely, 2133003240130010 is an apocalyptic number.

133003240130010 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 133003240130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166854857472000).

133003240130010 is an abundant number, since it is smaller than the sum of its proper divisors (200706474813990).

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

133003240130010 is a wasteful number, since it uses less digits than its factorization.

133003240130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46732.

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

Adding to 133003240130010 its reverse (10031042300331), we get a palindrome (143034282430341).

The spelling of 133003240130010 in words is "one hundred thirty-three trillion, three billion, two hundred forty million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 577 690 1154 1731 2885 3462 5770 8655 8999 13271 17310 17998 26542 26997 37123 39813 44995 53994 66355 74246 79626 89990 111369 132710 134985 185615 199065 206977 222738 269970 371230 398130 413954 556845 620931 853829 1034885 1113690 1241862 1707658 2069770 2561487 3104655 4269145 5122974 5192423 6209310 8538290 10384846 12807435 15577269 21419971 25614870 25962115 31154538 42839942 51924230 64259913 77886345 107099855 119425729 128519826 155772690 214199710 238851458 321299565 334069877 358277187 492659333 597128645 642599130 668139754 716554374 985318666 1002209631 1194257290 1477977999 1670349385 1791385935 2004419262 2463296665 2955955998 3340698770 3582771870 4926593330 5011048155 7389889995 7683607171 10022096310 14779779990 15367214342 23050821513 38418035855 46101643026 76836071710 115254107565 192758319029 230508215130 385516638058 578274957087 963791595145 1156549914174 1927583190290 2891374785435 4433441337667 5782749570870 8866882675334 13300324013001 22167206688335 26600648026002 44334413376670 66501620065005 133003240130010