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13013120034 = 232722951113
BaseRepresentation
bin11000001111010010…
…00111010000100010
31020120220110222202200
430013221013100202
5203122324320114
65551140154030
7640322460315
oct140751072042
936526428680
1013013120034
115578626762
122632098916
1312c5016735
148b63c297c
15512694409
hex307a47422

13013120034 has 12 divisors (see below), whose sum is σ = 28195093446. Its totient is φ = 4337706672.

The previous prime is 13013120017. The next prime is 13013120041. The reversal of 13013120034 is 43002131031.

It can be written as a sum of positive squares in only one way, i.e., 11028150225 + 1984969809 = 105015^2 + 44553^2 .

It is a super-2 number, since 2×130131200342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 722951113 = 13013120034 / (1 + 3 + 0 + 1 + 3 + 1 + 2 + 0 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 13013119989 and 13013120016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361475539 + ... + 361475574.

Almost surely, 213013120034 is an apocalyptic number.

13013120034 is an abundant number, since it is smaller than the sum of its proper divisors (15181973412).

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

13013120034 is a wasteful number, since it uses less digits than its factorization.

13013120034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722951121 (or 722951118 counting only the distinct ones).

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

Adding to 13013120034 its reverse (43002131031), we get a palindrome (56015251065).

The spelling of 13013120034 in words is "thirteen billion, thirteen million, one hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 722951113 1445902226 2168853339 4337706678 6506560017 13013120034