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1010113312 = 25132428157
BaseRepresentation
bin111100001101010…
…001101100100000
32121101201001222011
4330031101230200
54032042111222
6244122122304
734013551525
oct7415215440
92541631864
101010113312
1147920109a
12242350394
1313136b4b0
149822114c
155da2cc77
hex3c351b20

1010113312 has 24 divisors (see below), whose sum is σ = 2141635356. Its totient is φ = 466205952.

The previous prime is 1010113253. The next prime is 1010113343. The reversal of 1010113312 is 2133110101.

It can be written as a sum of positive squares in 2 ways, for example, as 998307216 + 11806096 = 31596^2 + 3436^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1010113292 and 1010113301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213663 + ... + 1214494.

Almost surely, 21010113312 is an apocalyptic number.

It is an amenable number.

1010113312 is an abundant number, since it is smaller than the sum of its proper divisors (1131522044).

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

1010113312 is a wasteful number, since it uses less digits than its factorization.

1010113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428180 (or 2428172 counting only the distinct ones).

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

The square root of 1010113312 is about 31782.2798427048. The cubic root of 1010113312 is about 1003.3598030811.

Adding to 1010113312 its reverse (2133110101), we get a palindrome (3143223413).

The spelling of 1010113312 in words is "one billion, ten million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2428157 4856314 9712628 19425256 31566041 38850512 63132082 77701024 126264164 252528328 505056656 1010113312