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100220021220 = 223511701216617
BaseRepresentation
bin101110101010110010…
…1000010100111100100
3100120200111122120121210
41131111211002213210
53120222311134340
6114012422511420
710145355060534
oct1352545024744
9316614576553
10100220021220
1139559653320
121750b595570
1395b2286a07
144bca3754c4
1529186eb180
hex17559429e4

100220021220 has 96 divisors (see below), whose sum is σ = 306564725376. Its totient is φ = 24260992000.

The previous prime is 100220021207. The next prime is 100220021227. The reversal of 100220021220 is 22120022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100220021196 and 100220021205.

It is not an unprimeable number, because it can be changed into a prime (100220021227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354352 + ... + 570968.

It is an arithmetic number, because the mean of its divisors is an integer number (3193382556).

Almost surely, 2100220021220 is an apocalyptic number.

100220021220 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 100220021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153282362688).

100220021220 is an abundant number, since it is smaller than the sum of its proper divisors (206344704156).

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

100220021220 is a wasteful number, since it uses less digits than its factorization.

100220021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217341 (or 217339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100220021220 its reverse (22120022001), we get a palindrome (122340043221).

The spelling of 100220021220 in words is "one hundred billion, two hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 701 1402 2103 2804 3505 4206 7010 7711 8412 10515 14020 15422 21030 23133 30844 38555 42060 46266 77110 92532 115665 154220 216617 231330 433234 462660 649851 866468 1083085 1299702 2166170 2382787 2599404 3249255 4332340 4765574 6498510 7148361 9531148 11913935 12997020 14296722 23827870 28593444 35741805 47655740 71483610 142967220 151848517 303697034 455545551 607394068 759242585 911091102 1518485170 1670333687 1822182204 2277727755 3036970340 3340667374 4555455510 5011001061 6681334748 8351668435 9110911020 10022002122 16703336870 20044004244 25055005305 33406673740 50110010610 100220021220