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1310331220 = 225118237237
BaseRepresentation
bin100111000011010…
…0001000101010100
310101022121201111221
41032012201011110
510140421044340
6334004540124
744320426432
oct11606410524
93338551457
101310331220
11612714270
123069b1644
1317b614523
14c604dd52
157a08144a
hex4e1a1154

1310331220 has 48 divisors (see below), whose sum is σ = 3005912448. Its totient is φ = 475839360.

The previous prime is 1310331203. The next prime is 1310331223. The reversal of 1310331220 is 221330131.

It is a super-2 number, since 2×13103312202 = 3433935812213376800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310331194 and 1310331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310331223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177442 + ... + 184678.

It is an arithmetic number, because the mean of its divisors is an integer number (62623176).

Almost surely, 21310331220 is an apocalyptic number.

1310331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310331220 is an abundant number, since it is smaller than the sum of its proper divisors (1695581228).

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

1310331220 is a wasteful number, since it uses less digits than its factorization.

1310331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1310331220 is about 36198.4974826304. The cubic root of 1310331220 is about 1094.2763913240.

Adding to 1310331220 its reverse (221330131), we get a palindrome (1531661351).

The spelling of 1310331220 in words is "one billion, three hundred ten million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 823 1646 3292 4115 7237 8230 9053 14474 16460 18106 28948 36185 36212 45265 72370 79607 90530 144740 159214 181060 318428 398035 796070 1592140 5956051 11912102 23824204 29780255 59560510 65516561 119121020 131033122 262066244 327582805 655165610 1310331220