Search a number
-
+
13033220232120 = 2335119873651691
BaseRepresentation
bin1011110110101000100001…
…1101100101001110111000
31201010222000112020011122220
42331222020131211032320
53202014013334411440
643415213445244040
72513422230044154
oct275521035451670
951128015204586
1013033220232120
1141753a3055890
121565b13103620
13737048253cba
14330b50004064
15179055d588d0
hexbda887653b8

13033220232120 has 64 divisors (see below), whose sum is σ = 42654175309440. Its totient is φ = 3159568540800.

The previous prime is 13033220232113. The next prime is 13033220232121. The reversal of 13033220232120 is 2123202233031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033220232121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4936824526 + ... + 4936827165.

It is an arithmetic number, because the mean of its divisors is an integer number (666471489210).

Almost surely, 213033220232120 is an apocalyptic number.

13033220232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13033220232120 is an abundant number, since it is smaller than the sum of its proper divisors (29620955077320).

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

13033220232120 is a wasteful number, since it uses less digits than its factorization.

13033220232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873651716 (or 9873651712 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13033220232120 its reverse (2123202233031), we get a palindrome (15156422465151).

The spelling of 13033220232120 in words is "thirteen trillion, thirty-three billion, two hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9873651691 19747303382 29620955073 39494606764 49368258455 59241910146 78989213528 98736516910 108610168601 118483820292 148104775365 197473033820 217220337202 236967640584 296209550730 325830505803 394946067640 434440674404 543050843005 592419101460 651661011606 868881348808 1086101686010 1184838202920 1303322023212 1629152529015 2172203372020 2606644046424 3258305058030 4344406744040 6516610116060 13033220232120