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13102103030031 = 3217139616076693
BaseRepresentation
bin1011111010101001001000…
…1100100110100100001111
31201101112211002100212101100
42332222102030212210033
53204131101333430111
643511004550514143
72521411220133651
oct276522214464417
951345732325340
1013102103030031
1141a1630653444
121577337965953
137406a50a6c12
143342064c06d1
1517ac38336756
hexbea9232690f

13102103030031 has 24 divisors (see below), whose sum is σ = 20182672495440. Its totient is φ = 8161784015616.

The previous prime is 13102103029973. The next prime is 13102103030069. The reversal of 13102103030031 is 13003030120131.

It is a happy number.

13102103030031 is a `hidden beast` number, since 1 + 310 + 21 + 0 + 3 + 0 + 300 + 31 = 666.

13102103030031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13102103030031 - 217 = 13102102898959 is a prime.

It is a super-2 number, since 2×131021030300312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13102103029986 and 13102103030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102103030231) 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, 308017080 + ... + 308059613.

It is an arithmetic number, because the mean of its divisors is an integer number (840944687310).

Almost surely, 213102103030031 is an apocalyptic number.

13102103030031 is a deficient number, since it is larger than the sum of its proper divisors (7080569465409).

13102103030031 is a wasteful number, since it uses less digits than its factorization.

13102103030031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616076855 (or 616076852 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13102103030031 its reverse (13003030120131), we get a palindrome (26105133150162).

The spelling of 13102103030031 in words is "thirteen trillion, one hundred two billion, one hundred three million, thirty thousand, thirty-one".

Divisors: 1 3 9 17 51 139 153 417 1251 2363 7089 21267 616076693 1848230079 5544690237 10473303781 31419911343 85634660327 94259734029 256903980981 770711942943 1455789225559 4367367676677 13102103030031