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13203310134 = 23717166711093
BaseRepresentation
bin11000100101111101…
…01000011000110110
31021002011100122112110
430102332220120312
5204020021411014
610022052431450
7645122166360
oct142276503066
937064318473
1013203310134
115665a19363
122685918586
131325547861
148d376dd30
15524211d59
hex312fa8636

13203310134 has 64 divisors (see below), whose sum is σ = 31976280576. Its totient is φ = 3548020224.

The previous prime is 13203310097. The next prime is 13203310147. The reversal of 13203310134 is 43101330231.

13203310134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13203310134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184692 + ... + 1195784.

It is an arithmetic number, because the mean of its divisors is an integer number (499629384).

Almost surely, 213203310134 is an apocalyptic number.

13203310134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203310134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988140288).

13203310134 is an abundant number, since it is smaller than the sum of its proper divisors (18772970442).

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

13203310134 is a wasteful number, since it uses less digits than its factorization.

13203310134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12789.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13203310134 its reverse (43101330231), we get a palindrome (56304640365).

The spelling of 13203310134 in words is "thirteen billion, two hundred three million, three hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1667 3334 5001 10002 11093 11669 22186 23338 28339 33279 35007 56678 66558 70014 77651 85017 155302 170034 188581 198373 232953 377162 396746 465906 565743 595119 1131486 1190238 1320067 2640134 3960201 7920402 18492031 36984062 55476093 110952186 129444217 258888434 314364527 388332651 628729054 776665302 943093581 1886187162 2200551689 4401103378 6601655067 13203310134