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1013103322002 = 232413121439849
BaseRepresentation
bin11101011111000011010…
…10011110001110010010
310120211222220122011002100
432233201222132032102
5113044313422301002
62053225132101230
7133123434103002
oct16574152361622
93524886564070
101013103322002
11360722460732
1214441a304816
13746c5ba5105
143706a7ca002
151b546cc711c
hexebe1a9e392

1013103322002 has 48 divisors (see below), whose sum is σ = 2249320764600. Its totient is φ = 329358182400.

The previous prime is 1013103321943. The next prime is 1013103322009. The reversal of 1013103322002 is 2002233013101.

1013103322002 is a `hidden beast` number, since 1 + 0 + 1 + 310 + 332 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109461060801 + 903642261201 = 330849^2 + 950601^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1013103322009) 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, 2083374 + ... + 2523222.

Almost surely, 21013103322002 is an apocalyptic number.

1013103322002 is an abundant number, since it is smaller than the sum of its proper divisors (1236217442598).

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

1013103322002 is a wasteful number, since it uses less digits than its factorization.

1013103322002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443019 (or 443016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013103322002 its reverse (2002233013101), we get a palindrome (3015336335103).

The spelling of 1013103322002 in words is "one trillion, thirteen billion, one hundred three million, three hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 3121 6242 9363 18726 28089 56178 127961 255922 383883 439849 767766 879698 1151649 1319547 2303298 2639094 3958641 7917282 18033809 36067618 54101427 108202854 162304281 324608562 1372768729 2745537458 4118306187 8236612374 12354918561 24709837122 56283517889 112567035778 168850553667 337701107334 506551661001 1013103322002