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220211210101220 = 2251331374118010211
BaseRepresentation
bin110010000100011111101010…
…111101000010000111100100
31001212200222121212011101122122
4302010133222331002013210
5212330420024241214340
62100203344445045112
764245510033514322
oct6204375275020744
91055628555141578
10220211210101220
1164191060231548
12208464a8856798
1395b4a9c19c370
143c543caac4d12
151a6d2eb5dadb5
hexc847eaf421e4

220211210101220 has 192 divisors, whose sum is σ = 540852717791232. Its totient is φ = 74691942912000.

The previous prime is 220211210101219. The next prime is 220211210101231. The reversal of 220211210101220 is 22101012112022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3221915 + ... + 21232125.

It is an arithmetic number, because the mean of its divisors is an integer number (2816941238496).

Almost surely, 2220211210101220 is an apocalyptic number.

220211210101220 is a gapful number since it is divisible by the number (20) 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 220211210101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270426358895616).

220211210101220 is an abundant number, since it is smaller than the sum of its proper divisors (320641507690012).

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

220211210101220 is a wasteful number, since it uses less digits than its factorization.

220211210101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18010342 (or 18010340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220211210101220 its reverse (22101012112022), we get a palindrome (242312222213242).

The spelling of 220211210101220 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, two hundred twenty".