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100300331220 = 223573211108529
BaseRepresentation
bin101110101101001011…
…1011001100011010100
3100120220002202202020020
41131122113121203110
53120403341044340
6114024412105140
710150351514505
oct1353227314324
9316802682206
10100300331220
113959aa16421
12175324651b0
1395c5ac521b
144bd6cbcbac
1529207b19d0
hex175a5d98d4

100300331220 has 96 divisors (see below), whose sum is σ = 286039931520. Its totient is φ = 26255093760.

The previous prime is 100300331179. The next prime is 100300331233. The reversal of 100300331220 is 22133003001.

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 100300331220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869916 + ... + 978444.

It is an arithmetic number, because the mean of its divisors is an integer number (2979582620).

Almost surely, 2100300331220 is an apocalyptic number.

100300331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100300331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143019965760).

100300331220 is an abundant number, since it is smaller than the sum of its proper divisors (185739600300).

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

100300331220 is a wasteful number, since it uses less digits than its factorization.

100300331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108825 (or 108823 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100300331220 its reverse (22133003001), we get a palindrome (122433334221).

The spelling of 100300331220 in words is "one hundred billion, three hundred million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 211 219 292 365 422 438 633 730 844 876 1055 1095 1266 1460 2110 2190 2532 3165 4220 4380 6330 12660 15403 30806 46209 61612 77015 92418 108529 154030 184836 217058 231045 308060 325587 434116 462090 542645 651174 924180 1085290 1302348 1627935 2170580 3255870 6511740 7922617 15845234 22899619 23767851 31690468 39613085 45799238 47535702 68698857 79226170 91598476 95071404 114498095 118839255 137397714 158452340 228996190 237678510 274795428 343494285 457992380 475357020 686988570 1373977140 1671672187 3343344374 5015016561 6686688748 8358360935 10030033122 16716721870 20060066244 25075082805 33433443740 50150165610 100300331220