Search a number
-
+
100332130203300 = 223522952322050533
BaseRepresentation
bin10110110100000001100100…
…111110101111011010100100
3111011020122202122212222222110
4112310001210332233122210
5101122320200313001200
6553215535545401020
730063520501243662
oct2664014476573244
9434218678788873
10100332130203300
1129a726879347a6
12b305057499170
1343ca382771168
141aac15b26bc32
15b8ed07ad8b50
hex5b4064faf6a4

100332130203300 has 144 divisors (see below), whose sum is σ = 300878654408640. Its totient is φ = 25783246056960.

The previous prime is 100332130203299. The next prime is 100332130203341. The reversal of 100332130203300 is 3302031233001.

It is a super-2 number, since 2×1003321302033002 (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 47 ways as a sum of consecutive naturals, for example, 6475167 + ... + 15575366.

It is an arithmetic number, because the mean of its divisors is an integer number (2089435100060).

Almost surely, 2100332130203300 is an apocalyptic number.

100332130203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332130203300 is an abundant number, since it is smaller than the sum of its proper divisors (200546524205340).

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

100332130203300 is a wasteful number, since it uses less digits than its factorization.

100332130203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22051102 (or 22051095 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100332130203300 its reverse (3302031233001), we get a palindrome (103634161436301).

The spelling of 100332130203300 in words is "one hundred trillion, three hundred thirty-two billion, one hundred thirty million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 523 580 725 870 1046 1450 1569 1740 2092 2175 2615 2900 3138 4350 5230 6276 7845 8700 10460 13075 15167 15690 26150 30334 31380 39225 45501 52300 60668 75835 78450 91002 151670 156900 182004 227505 303340 379175 455010 758350 910020 1137525 1516700 2275050 4550100 22050533 44101066 66151599 88202132 110252665 132303198 220505330 264606396 330757995 441010660 551263325 639465457 661515990 1102526650 1278930914 1323031980 1653789975 1918396371 2205053300 2557861828 3197327285 3307579950 3836792742 6394654570 6615159900 7673585484 9591981855 11532428759 12789309140 15986636425 19183963710 23064857518 31973272850 34597286277 38367927420 46129715036 47959909275 57662143795 63946545700 69194572554 95919818550 115324287590 138389145108 172986431385 191839637100 230648575180 288310718975 334440434011 345972862770 576621437950 668880868022 691945725540 864932156925 1003321302033 1153242875900 1337761736044 1672202170055 1729864313850 2006642604066 3344404340110 3459728627700 4013285208132 5016606510165 6688808680220 8361010850275 10033213020330 16722021700550 20066426040660 25083032550825 33444043401100 50166065101650 100332130203300