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13013781030 = 2335291662041
BaseRepresentation
bin11000001111010111…
…01000101000100110
31020120221201120111000
430013223220220212
5203123011443110
65551202254130
7640331212365
oct140753505046
936527646430
1013013781030
115578a38338
122632357346
1312c51b8563
148b65157dc
155127751c0
hex307ae8a26

13013781030 has 64 divisors (see below), whose sum is σ = 35900107200. Its totient is φ = 3350672640.

The previous prime is 13013780999. The next prime is 13013781031. The reversal of 13013781030 is 3018731031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13013780985 and 13013781003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013781031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823191 + ... + 838850.

It is an arithmetic number, because the mean of its divisors is an integer number (560939175).

Almost surely, 213013781030 is an apocalyptic number.

13013781030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13013781030 is an abundant number, since it is smaller than the sum of its proper divisors (22886326170).

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

13013781030 is a wasteful number, since it uses less digits than its factorization.

13013781030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662086 (or 1662080 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13013781030 in words is "thirteen billion, thirteen million, seven hundred eighty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 1662041 3324082 4986123 8310205 9972246 14958369 16620410 24930615 29916738 44875107 48199189 49861230 74791845 89750214 96398378 144597567 149583690 224375535 240995945 289195134 433792701 448751070 481991890 722987835 867585402 1301378103 1445975670 2168963505 2602756206 4337927010 6506890515 13013781030