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13020311233332 = 22321348491573739
BaseRepresentation
bin1011110101111000011100…
…0001101010001100110100
31201002201200212200002101200
42331132013001222030310
53201311044133431312
643405240504452500
72512454310262164
oct275360701521464
951081625602350
1013020311233332
11416a979285a47
12156350ba7a130
13735a6b994b90
143302877a65a4
15178a4c8d00dc
hexbd78706a334

13020311233332 has 72 divisors (see below), whose sum is σ = 35444973301920. Its totient is φ = 4006160009280.

The previous prime is 13020311233297. The next prime is 13020311233333. The reversal of 13020311233332 is 23333211302031.

13020311233332 is a `hidden beast` number, since 1 + 3 + 0 + 203 + 1 + 123 + 3 + 332 = 666.

13020311233332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130203112333322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13020311233296 and 13020311233305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020311233333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22406919 + ... + 22980657.

It is an arithmetic number, because the mean of its divisors is an integer number (492291295860).

Almost surely, 213020311233332 is an apocalyptic number.

13020311233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13020311233332 is an abundant number, since it is smaller than the sum of its proper divisors (22424662068588).

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

13020311233332 is a wasteful number, since it uses less digits than its factorization.

13020311233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622253 (or 622248 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13020311233332 its reverse (23333211302031), we get a palindrome (36353522535363).

The spelling of 13020311233332 in words is "thirteen trillion, twenty billion, three hundred eleven million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 48491 96982 145473 193964 290946 436419 573739 581892 630383 872838 1147478 1260766 1721217 1745676 1891149 2294956 2521532 3442434 3782298 5163651 5673447 6884868 7458607 7564596 10327302 11346894 14917214 20654604 22375821 22693788 29834428 44751642 67127463 89503284 134254926 268509852 27821177849 55642355698 83463533547 111284711396 166927067094 250390600641 333854134188 361675312037 500781201282 723350624074 1001562402564 1085025936111 1446701248148 2170051872222 3255077808333 4340103744444 6510155616666 13020311233332