Search a number
-
+
10033113220 = 22513229316829
BaseRepresentation
bin10010101100000010…
…10010100010000100
3221220020001221220221
421112001102202010
5131021434110340
64335324234124
7503426024644
oct112601224204
927806057827
1010033113220
114289481509
121b4009b944
13c3b8124b0
146b2702524
153dac4e44a
hex256052884

10033113220 has 48 divisors (see below), whose sum is σ = 22701515760. Its totient is φ = 3702698496.

The previous prime is 10033113217. The next prime is 10033113221. The reversal of 10033113220 is 2231133001.

It can be written as a sum of positive squares in 8 ways, for example, as 4127805504 + 5905307716 = 64248^2 + 76846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10033113194 and 10033113203.

It is not an unprimeable number, because it can be changed into a prime (10033113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587766 + ... + 604594.

It is an arithmetic number, because the mean of its divisors is an integer number (472948245).

Almost surely, 210033113220 is an apocalyptic number.

10033113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033113220 is an abundant number, since it is smaller than the sum of its proper divisors (12668402540).

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

10033113220 is a wasteful number, since it uses less digits than its factorization.

10033113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19144 (or 19142 counting only the distinct ones).

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

Adding to 10033113220 its reverse (2231133001), we get a palindrome (12264246221).

The spelling of 10033113220 in words is "ten billion, thirty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2293 4586 9172 11465 16829 22930 29809 33658 45860 59618 67316 84145 119236 149045 168290 218777 298090 336580 437554 596180 875108 1093885 2187770 4375540 38588897 77177794 154355588 192944485 385888970 501655661 771777940 1003311322 2006622644 2508278305 5016556610 10033113220