Search a number
-
+
13031233102332 = 22321091331786157
BaseRepresentation
bin1011110110100001001000…
…0001010010000111111100
31201010202220001002112001100
42331220102001102013330
53202000431133233312
643414244342213100
72513322050524644
oct275502201220774
951122801075040
1013031233102332
1141745733a9865
121565659724190
13736abc664a63
14330a02139524
15178e8b6895dc
hexbda120521fc

13031233102332 has 36 divisors (see below), whose sum is σ = 32970254092776. Its totient is φ = 4339762920480.

The previous prime is 13031233102259. The next prime is 13031233102337. The reversal of 13031233102332 is 23320133213031.

13031233102332 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 12 + 3 + 310 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13031233102296 and 13031233102305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031233102337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165853803 + ... + 165932354.

It is an arithmetic number, because the mean of its divisors is an integer number (915840391466).

Almost surely, 213031233102332 is an apocalyptic number.

13031233102332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13031233102332 is an abundant number, since it is smaller than the sum of its proper divisors (19939020990444).

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

13031233102332 is a wasteful number, since it uses less digits than its factorization.

13031233102332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331787258 (or 331787253 counting only the distinct ones).

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

Adding to 13031233102332 its reverse (23320133213031), we get a palindrome (36351366315363).

The spelling of 13031233102332 in words is "thirteen trillion, thirty-one billion, two hundred thirty-three million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1091 2182 3273 4364 6546 9819 13092 19638 39276 331786157 663572314 995358471 1327144628 1990716942 2986075413 3981433884 5972150826 11944301652 361978697287 723957394574 1085936091861 1447914789148 2171872183722 3257808275583 4343744367444 6515616551166 13031233102332