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13102122112331 = 7109141431214159
BaseRepresentation
bin1011111010101001001101…
…0101011001010101001011
31201101112212102021100101012
42332222103111121111023
53204131121230043311
643511010511514135
72521411541261330
oct276522325312513
951345772240335
1013102122112331
1141a16403a723a
12157734222894b
137406a9028715
14334208c4a987
1517ac39d5578b
hexbea9355954b

13102122112331 has 16 divisors (see below), whose sum is σ = 15112309555200. Its totient is φ = 11126563338528.

The previous prime is 13102122112301. The next prime is 13102122112333. The reversal of 13102122112331 is 13321122120131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13102122112331 - 230 = 13101048370507 is a prime.

It is a super-2 number, since 2×131021221123312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13102122112297 and 13102122112306.

It is not an unprimeable number, because it can be changed into a prime (13102122112333) 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, 10184030 + ... + 11398188.

It is an arithmetic number, because the mean of its divisors is an integer number (944519347200).

Almost surely, 213102122112331 is an apocalyptic number.

13102122112331 is a deficient number, since it is larger than the sum of its proper divisors (2010187442869).

13102122112331 is a wasteful number, since it uses less digits than its factorization.

13102122112331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228418.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 13102122112331 its reverse (13321122120131), we get a palindrome (26423244232462).

The spelling of 13102122112331 in words is "thirteen trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 109 763 14143 99001 1214159 1541587 8499113 10791109 132343331 926403317 17171850737 120202955159 1871731730333 13102122112331