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1310031220 = 225172226649
BaseRepresentation
bin100111000010101…
…0111110101110100
310101022001110222211
41032011113311310
510140331444340
6333554303204
744315040001
oct11605276564
93338043884
101310031220
11612529933
12306887b04
1317b53ab04
14c5db28a8
157a0225ea
hex4e157d74

1310031220 has 36 divisors (see below), whose sum is σ = 2922425100. Its totient is φ = 493186048.

The previous prime is 1310031211. The next prime is 1310031223. The reversal of 1310031220 is 221300131.

It can be written as a sum of positive squares in 6 ways, for example, as 357815056 + 952216164 = 18916^2 + 30858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1310031220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310031223) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 107545 + ... + 119104.

It is an arithmetic number, because the mean of its divisors is an integer number (81178475).

Almost surely, 21310031220 is an apocalyptic number.

1310031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310031220 is an abundant number, since it is smaller than the sum of its proper divisors (1612393880).

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

1310031220 is a wasteful number, since it uses less digits than its factorization.

1310031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226692 (or 226673 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1310031220 is about 36194.3534270195. The cubic root of 1310031220 is about 1094.1928735159.

Adding to 1310031220 its reverse (221300131), we get a palindrome (1531331351).

The spelling of 1310031220 in words is "one billion, three hundred ten million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 226649 453298 906596 1133245 2266490 3853033 4532980 7706066 15412132 19265165 38530330 65501561 77060660 131003122 262006244 327507805 655015610 1310031220