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221200210120020 = 223533710939674091
BaseRepresentation
bin110010010010111000101111…
…111100101100110101010100
31002000012112101222011212200120
4302102320233330230311110
5212443121012242320040
62102241550151511540
764410121262126325
oct6222705774546524
91060175358155616
10221200210120020
1164532533a3178a
12209860ba9885b0
139657123548c91
143c8a20c26444c
151a88dd22b87d0
hexc92e2ff2cd54

221200210120020 has 48 divisors (see below), whose sum is σ = 621198453640128. Its totient is φ = 58811687907840.

The previous prime is 221200210119979. The next prime is 221200210120051. The reversal of 221200210120020 is 20021012002122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469816826 + ... + 5469857265.

It is an arithmetic number, because the mean of its divisors is an integer number (12941634450836).

Almost surely, 2221200210120020 is an apocalyptic number.

221200210120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200210120020 is an abundant number, since it is smaller than the sum of its proper divisors (399998243520108).

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

221200210120020 is a wasteful number, since it uses less digits than its factorization.

221200210120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10939674440 (or 10939674438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221200210120020 its reverse (20021012002122), we get a palindrome (241221222122142).

The spelling of 221200210120020 in words is "two hundred twenty-one trillion, two hundred billion, two hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 2022 3370 4044 5055 6740 10110 20220 10939674091 21879348182 32819022273 43758696364 54698370455 65638044546 109396740910 131276089092 164095111365 218793481820 328190222730 656380445460 3686670168667 7373340337334 11060010506001 14746680674668 18433350843335 22120021012002 36866701686670 44240042024004 55300052530005 73733403373340 110600105060010 221200210120020