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2131331341220 = 225293839395713
BaseRepresentation
bin11111000000111101001…
…111110101101110100100
321112202100010221020101222
4133000331033311232210
5234404431310404340
64311041535235512
7306661243325504
oct37007517655644
97482303836358
102131331341220
1175198aa84314
122a5096678b98
13125ca31c8473
147522aab7a04
153a692b728b5
hex1f03d3f5ba4

2131331341220 has 48 divisors (see below), whose sum is σ = 4630302578160. Its totient is φ = 823104823296.

The previous prime is 2131331341213. The next prime is 2131331341259. The reversal of 2131331341220 is 221431331312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39188953444 + 2092142387776 = 197962^2 + 1446424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2131331341220.

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, 22220084 + ... + 22315796.

It is an arithmetic number, because the mean of its divisors is an integer number (96464637045).

Almost surely, 22131331341220 is an apocalyptic number.

2131331341220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131331341220 is an abundant number, since it is smaller than the sum of its proper divisors (2498971236940).

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

2131331341220 is a wasteful number, since it uses less digits than its factorization.

2131331341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134144 (or 134142 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2131331341220 its reverse (221431331312), we get a palindrome (2352762672532).

The spelling of 2131331341220 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 38393 76786 95713 153572 191426 191965 382852 383930 478565 767860 957130 1113397 1914260 2226794 2775677 4453588 5551354 5566985 11102708 11133970 13878385 22267940 27756770 55513540 3674709209 7349418418 14698836836 18373546045 36747092090 73494184180 106566567061 213133134122 426266268244 532832835305 1065665670610 2131331341220