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1131314431220 = 22563018977261
BaseRepresentation
bin10000011101100111100…
…110000100010011110100
311000011010020200200202122
4100131213212010103310
5122013412443244340
62223415122255112
7144510012000251
oct20354746042364
94004106620678
101131314431220
113a6873559716
1216330aab7498
13828b458bb0c
143ca8230c428
151e664bbadb5
hex107679844f4

1131314431220 has 24 divisors (see below), whose sum is σ = 2376137615208. Its totient is φ = 452453904000.

The previous prime is 1131314431207. The next prime is 1131314431243. The reversal of 1131314431220 is 221344131311.

It can be written as a sum of positive squares in 4 ways, for example, as 508799743204 + 622514688016 = 713302^2 + 788996^2 .

It is a super-2 number, since 2×11313144312202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131314431220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4362611 + ... + 4614650.

It is an arithmetic number, because the mean of its divisors is an integer number (99005733967).

Almost surely, 21131314431220 is an apocalyptic number.

1131314431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131314431220 is an abundant number, since it is smaller than the sum of its proper divisors (1244823183988).

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

1131314431220 is a wasteful number, since it uses less digits than its factorization.

1131314431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983571 (or 8983569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1131314431220 its reverse (221344131311), we get a palindrome (1352658562531).

The spelling of 1131314431220 in words is "one trillion, one hundred thirty-one billion, three hundred fourteen million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6301 12602 25204 31505 63010 126020 8977261 17954522 35909044 44886305 89772610 179545220 56565721561 113131443122 226262886244 282828607805 565657215610 1131314431220