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100131003003300 = 22352991336801221
BaseRepresentation
bin10110110001000110010000…
…110111010111000110100100
3111010112102121202120121202220
4112301012100313113012210
5101111021243232101200
6552543314151432340
730043140412246413
oct2661062067270644
9433472552517686
10100131003003300
11299a5357870555
12b2920863856b0
1343b440ba69949
141aa251b5ab47a
15b899857094a0
hex5b1190dd71a4

100131003003300 has 72 divisors (see below), whose sum is σ = 290004713010432. Its totient is φ = 26674656624000.

The previous prime is 100131003003299. The next prime is 100131003003341. The reversal of 100131003003300 is 3300300131001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100131003003300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168103311 + ... + 168697910.

It is an arithmetic number, because the mean of its divisors is an integer number (4027843236256).

Almost surely, 2100131003003300 is an apocalyptic number.

100131003003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131003003300 is an abundant number, since it is smaller than the sum of its proper divisors (189873710007132).

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

100131003003300 is a wasteful number, since it uses less digits than its factorization.

100131003003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336802229 (or 336802222 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100131003003300 its reverse (3300300131001), we get a palindrome (103431303134301).

The spelling of 100131003003300 in words is "one hundred trillion, one hundred thirty-one billion, three million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 991 1982 2973 3964 4955 5946 9910 11892 14865 19820 24775 29730 49550 59460 74325 99100 148650 297300 336801221 673602442 1010403663 1347204884 1684006105 2020807326 3368012210 4041614652 5052018315 6736024420 8420030525 10104036630 16840061050 20208073260 25260091575 33680122100 50520183150 101040366300 333770010011 667540020022 1001310030033 1335080040044 1668850050055 2002620060066 3337700100110 4005240120132 5006550150165 6675400200220 8344250250275 10013100300330 16688500500550 20026200600660 25032750750825 33377001001100 50065501501650 100131003003300