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2131231001220 = 2232529408281801
BaseRepresentation
bin11111000000110111010…
…001000100101010000100
321112202002011010102210200
4133000313101010222010
5234404230114014340
64311023552450500
7306655614416166
oct37006721045204
97482064112720
102131231001220
117519393803a2
122a5068b49a30
13125c88495c99
147521b638936
153a688e52330
hex1f037444a84

2131231001220 has 72 divisors (see below), whose sum is σ = 6687655916760. Its totient is φ = 548730739200.

The previous prime is 2131231001219. The next prime is 2131231001231. The reversal of 2131231001220 is 221001321312.

2131231001220 is a `hidden beast` number, since 2 + 131 + 2 + 310 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29473335684 + 2101757665536 = 171678^2 + 1449744^2 .

It is a super-2 number, since 2×21312310012202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131231001193 and 2131231001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204135681 + ... + 204146120.

It is an arithmetic number, because the mean of its divisors is an integer number (92884109955).

Almost surely, 22131231001220 is an apocalyptic number.

2131231001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131231001220 is an abundant number, since it is smaller than the sum of its proper divisors (4556424915540).

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

2131231001220 is a wasteful number, since it uses less digits than its factorization.

2131231001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408281845 (or 408281840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131231001220 its reverse (221001321312), we get a palindrome (2352232322532).

The spelling of 2131231001220 in words is "two trillion, one hundred thirty-one billion, two hundred thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 408281801 816563602 1224845403 1633127204 2041409005 2449690806 3674536209 4082818010 4899381612 6124227015 7349072418 8165636020 11840172229 12248454030 14698144836 18372681045 23680344458 24496908060 35520516687 36745362090 47360688916 59200861145 71041033374 73490724180 106561550061 118401722290 142082066748 177602583435 213123100122 236803444580 355205166870 426246200244 532807750305 710410333740 1065615500610 2131231001220