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1313111020 = 2251331162917
BaseRepresentation
bin100111001000100…
…0111101111101100
310101111211221200111
41032101013233230
510142124023040
6334144305404
744353155004
oct11621075754
93344757614
101313111020
11614242821
12307912264
1317c078890
14c6575004
157a42edea
hex4e447bec

1313111020 has 48 divisors (see below), whose sum is σ = 3065465088. Its totient is φ = 469198080.

The previous prime is 1313111011. The next prime is 1313111029. The reversal of 1313111020 is 201113131.

It is an interprime number because it is at equal distance from previous prime (1313111011) and next prime (1313111029).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1313111029) 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 15 ways as a sum of consecutive naturals, for example, 73399 + ... + 89518.

It is an arithmetic number, because the mean of its divisors is an integer number (63863856).

Almost surely, 21313111020 is an apocalyptic number.

1313111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313111020 is an abundant number, since it is smaller than the sum of its proper divisors (1752354068).

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

1313111020 is a wasteful number, since it uses less digits than its factorization.

1313111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162970 (or 162968 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1313111020 is about 36236.8737614050. The cubic root of 1313111020 is about 1095.0496617107.

Adding to 1313111020 its reverse (201113131), we get a palindrome (1514224151).

The spelling of 1313111020 in words is "one billion, three hundred thirteen million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 162917 325834 651668 814585 1629170 2117921 3258340 4235842 5050427 8471684 10100854 10589605 20201708 21179210 25252135 42358420 50504270 65655551 101008540 131311102 262622204 328277755 656555510 1313111020