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13132314211032 = 233375180955727
BaseRepresentation
bin1011111100011001101011…
…1011000111001011011000
31201111102210120000212122000
42333012122323013023120
53210124434414223112
643532522445201000
72523530663005602
oct277063273071330
951442716025560
1013132314211032
114203424016925
121581169560160
137434ab13c593
143358709bc172
1517b9057777dc
hexbf19aec72d8

13132314211032 has 64 divisors (see below), whose sum is σ = 36527224473600. Its totient is φ = 4371609204000.

The previous prime is 13132314211031. The next prime is 13132314211073. The reversal of 13132314211032 is 23011241323131.

13132314211032 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 231 + 421 + 1 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13132314210987 and 13132314211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132314211031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40315648 + ... + 40640079.

It is an arithmetic number, because the mean of its divisors is an integer number (570737882400).

Almost surely, 213132314211032 is an apocalyptic number.

13132314211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13132314211032 is an abundant number, since it is smaller than the sum of its proper divisors (23394910262568).

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

13132314211032 is a wasteful number, since it uses less digits than its factorization.

13132314211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80956493 (or 80956483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13132314211032 its reverse (23011241323131), we get a palindrome (36143555534163).

The spelling of 13132314211032 in words is "thirteen trillion, one hundred thirty-two billion, three hundred fourteen million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 751 1502 2253 3004 4506 6008 6759 9012 13518 18024 20277 27036 40554 54072 81108 162216 80955727 161911454 242867181 323822908 485734362 647645816 728601543 971468724 1457203086 1942937448 2185804629 2914406172 4371609258 5828812344 8743218516 17486437032 60797750977 121595501954 182393252931 243191003908 364786505862 486382007816 547179758793 729573011724 1094359517586 1459146023448 1641539276379 2188719035172 3283078552758 4377438070344 6566157105516 13132314211032