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12130033111331 = 291078094832053
BaseRepresentation
bin1011000010000011111001…
…0100001001000100100011
31120221121201212022120121212
42300200332110021010203
53042214301434030311
641444243230540335
72361236346144242
oct260407624110443
946847655276555
1012130033111331
113957355509a73
12143aa6b6676ab
1369cb1b3b8605
142dd14d626959
151607e3b24c8b
hexb083e509123

12130033111331 has 16 divisors (see below), whose sum is σ = 12681242517600. Its totient is φ = 11587956511488.

The previous prime is 12130033111321. The next prime is 12130033111337. The reversal of 12130033111331 is 13311133003121.

It is a cyclic number.

It is not a de Polignac number, because 12130033111331 - 226 = 12129966002467 is a prime.

It is a super-2 number, since 2×121300331113312 (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 = 12130033111297 and 12130033111306.

It is not an unprimeable number, because it can be changed into a prime (12130033111337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94301 + ... + 4926353.

It is an arithmetic number, because the mean of its divisors is an integer number (792577657350).

Almost surely, 212130033111331 is an apocalyptic number.

12130033111331 is a deficient number, since it is larger than the sum of its proper divisors (551209406269).

12130033111331 is a wasteful number, since it uses less digits than its factorization.

12130033111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832998.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 12130033111331 its reverse (13311133003121), we get a palindrome (25441166114452).

The spelling of 12130033111331 in words is "twelve trillion, one hundred thirty billion, thirty-three million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 29 107 809 3103 23461 86563 2510327 4832053 140129537 517029671 3909130877 14993860459 113364795433 418277003839 12130033111331