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13013212113 = 3311231905023
BaseRepresentation
bin11000001111010010…
…11101101111010001
31020120220122200002000
430013221131233101
5203122340241423
65551142144213
7640323322626
oct140751355721
936526580060
1013013212113
115578689960
122632122069
1312c5049615
148b640834d
155126b1843
hex307a5dbd1

13013212113 has 32 divisors (see below), whose sum is σ = 21945876480. Its totient is φ = 7543887120.

The previous prime is 13013212073. The next prime is 13013212181. The reversal of 13013212113 is 31121231031.

13013212113 is a `hidden beast` number, since 130 + 1 + 321 + 211 + 3 = 666.

It is not a de Polignac number, because 13013212113 - 28 = 13013211857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13013212183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945681 + ... + 959342.

It is an arithmetic number, because the mean of its divisors is an integer number (685808640).

Almost surely, 213013212113 is an apocalyptic number.

It is an amenable number.

13013212113 is a deficient number, since it is larger than the sum of its proper divisors (8932664367).

13013212113 is a wasteful number, since it uses less digits than its factorization.

13013212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905066 (or 1905060 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13013212113 its reverse (31121231031), we get a palindrome (44134443144).

The spelling of 13013212113 in words is "thirteen billion, thirteen million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2277 6831 1905023 5715069 17145207 20955253 43815529 51435621 62865759 131446587 188597277 394339761 481970819 565791831 1183019283 1445912457 4337737371 13013212113