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1031131010 = 257213161873
BaseRepresentation
bin111101011101011…
…100111110000010
32122212020212211102
4331131130332002
54102432143020
6250152414402
734360316600
oct7535347602
92585225742
101031131010
1148a056a98
122493a7402
13135819bc0
149ad32870
15607d0475
hex3d75cf82

1031131010 has 48 divisors (see below), whose sum is σ = 2325158136. Its totient is φ = 326333952.

The previous prime is 1031130977. The next prime is 1031131019. The reversal of 1031131010 is 101311301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 414651769 + 616479241 = 20363^2 + 24829^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031130982 and 1031131000.

It is not an unprimeable number, because it can be changed into a prime (1031131019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74567 + ... + 87306.

Almost surely, 21031131010 is an apocalyptic number.

1031131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1031131010 is an abundant number, since it is smaller than the sum of its proper divisors (1294027126).

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

1031131010 is a wasteful number, since it uses less digits than its factorization.

1031131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161907 (or 161900 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1031131010 is about 32111.2287214301. The cubic root of 1031131010 is about 1010.2711457094.

Adding to 1031131010 its reverse (101311301), we get a palindrome (1132442311).

The spelling of 1031131010 in words is "one billion, thirty-one million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 161873 323746 809365 1133111 1618730 2104349 2266222 4208698 5665555 7931777 10521745 11331110 14730443 15863554 21043490 29460886 39658885 73652215 79317770 103113101 147304430 206226202 515565505 1031131010