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220200121210100 = 225237491171211669
BaseRepresentation
bin110010000100010101010110…
…000000010001010011110100
31001212122221000001110100201112
4302010111112000101103310
5212330224322012210400
62100154312243414152
764244635164504563
oct6204252600212364
91055587001410645
10220200121210100
116418738a8aa519
1220844313084358
1395b3a22a20725
143c53a580b5bda
151a6cd9cd3d835
hexc845560114f4

220200121210100 has 72 divisors (see below), whose sum is σ = 490759099016760. Its totient is φ = 85697691102720.

The previous prime is 220200121210093. The next prime is 220200121210189. The reversal of 220200121210100 is 1012121002022.

It can be written as a sum of positive squares in 12 ways, for example, as 7308793296484 + 212891327913616 = 2703478^2 + 14590796^2 .

It is a congruent number.

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, 181127066 + ... + 182338734.

It is an arithmetic number, because the mean of its divisors is an integer number (6816098597455).

Almost surely, 2220200121210100 is an apocalyptic number.

220200121210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200121210100 is an abundant number, since it is smaller than the sum of its proper divisors (270558977806660).

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

220200121210100 is a wasteful number, since it uses less digits than its factorization.

220200121210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260837 (or 1260830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220200121210100 its reverse (1012121002022), we get a palindrome (221212242212122).

The spelling of 220200121210100 in words is "two hundred twenty trillion, two hundred billion, one hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 49117 98234 196468 245585 491170 982340 1211669 1227925 1817329 2423338 2455850 3634658 4846676 4911700 6058345 7269316 9086645 12116690 18173290 24233380 30291725 36346580 44831753 45433225 60583450 89663506 90866450 121166900 179327012 181732900 224158765 448317530 896635060 1120793825 2241587650 4483175300 59513546273 119027092546 238054185092 297567731365 595135462730 1190270925460 1487838656825 2202001212101 2975677313650 4404002424202 5951354627300 8808004848404 11010006060505 22020012121010 44040024242020 55050030302525 110100060605050 220200121210100