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10313133061356 = 2232532419243401
BaseRepresentation
bin1001011000010011011010…
…1000011111010011101100
31100111220222222022220220100
42112010312220133103230
52322432244030430411
633533442105151100
72113046023425366
oct226046650372354
940456888286810
1010313133061356
113316858828734
1211a690748b490
1359a6a7aa6b48
14279230555d36
1512d405589456
hex96136a1f4ec

10313133061356 has 108 divisors (see below), whose sum is σ = 26633986371720. Its totient is φ = 3364784966400.

The previous prime is 10313133061291. The next prime is 10313133061393. The reversal of 10313133061356 is 65316033131301.

10313133061356 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 1 + 3 + 30 + 613 + 5 + 6 = 666.

10313133061356 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10313133061356.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42249256 + ... + 42492656.

Almost surely, 210313133061356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313133061356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316993185860).

10313133061356 is an abundant number, since it is smaller than the sum of its proper divisors (16320853310364).

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

10313133061356 is a wasteful number, since it uses less digits than its factorization.

10313133061356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243936 (or 243878 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

Adding to 10313133061356 its reverse (65316033131301), we get a palindrome (75629166192657).

The spelling of 10313133061356 in words is "ten trillion, three hundred thirteen billion, one hundred thirty-three million, sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 419 477 636 838 954 1257 1676 1908 2514 2809 3771 5028 5618 7542 8427 11236 15084 16854 22207 25281 33708 44414 50562 66621 88828 101124 133242 199863 243401 266484 399726 486802 730203 799452 973604 1176971 1460406 2190609 2353942 2920812 3530913 4381218 4707884 7061826 8762436 10592739 12900253 14123652 21185478 25800506 38700759 42370956 51601012 77401518 101985019 116102277 154803036 203970038 232204554 305955057 407940076 464409108 611910114 683713409 917865171 1223820228 1367426818 1835730342 2051140227 2734853636 3671460684 4102280454 5405206007 6153420681 8204560908 10810412014 12306841362 16215618021 21620824028 24613682724 32431236042 48646854063 64862472084 97293708126 194587416252 286475918371 572951836742 859427755113 1145903673484 1718855510226 2578283265339 3437711020452 5156566530678 10313133061356