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13133350386 = 23213617112959
BaseRepresentation
bin11000011101100111…
…10000010111110010
31020220021201022210200
430032303300113302
5203344114203021
610011113140030
7643312431162
oct141663602762
936807638720
1013133350386
11562a485592
1226663ba616
131313bc1460
148c835c5a2
1551cee3126
hex30ecf05f2

13133350386 has 96 divisors (see below), whose sum is σ = 31587978240. Its totient is φ = 3918499200.

The previous prime is 13133350369. The next prime is 13133350397. The reversal of 13133350386 is 68305333131.

13133350386 is a `hidden beast` number, since 1 + 313 + 335 + 0 + 3 + 8 + 6 = 666.

13133350386 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131333503862 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13133350386.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006975 + ... + 1019933.

It is an arithmetic number, because the mean of its divisors is an integer number (329041440).

Almost surely, 213133350386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133350386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

13133350386 is an abundant number, since it is smaller than the sum of its proper divisors (18454627854).

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

13133350386 is a wasteful number, since it uses less digits than its factorization.

13133350386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13133350386 in words is "thirteen billion, one hundred thirty-three million, three hundred fifty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 71 78 117 122 142 183 213 234 366 426 549 639 793 923 1098 1278 1586 1846 2379 2769 4331 4758 5538 7137 8307 8662 12959 12993 14274 16614 25918 25986 38877 38979 56303 77754 77958 112606 116631 168467 168909 233262 336934 337818 505401 506727 790499 920089 1010802 1013454 1516203 1580998 1840178 2371497 2760267 3032406 4742994 5520534 7114491 8280801 10276487 11961157 14228982 16561602 20552974 23922314 30829461 35883471 56125429 61658922 71766942 92488383 107650413 112250858 168376287 184976766 215300826 336752574 505128861 729630577 1010257722 1459261154 2188891731 4377783462 6566675193 13133350386