Search a number
-
+
13233100133231 = 112197555149563
BaseRepresentation
bin1100000010010001001000…
…1110111001001101101111
31201212001221111112012110022
43000210102032321031233
53213302342113230411
644051111405232355
72534026362135506
oct300442216711557
951761844465408
1013233100133231
114242143047a00
1215987b65626bb
1374cb50713234
1433a6b218183d
1517e3539a7edb
hexc09123b936f

13233100133231 has 12 divisors (see below), whose sum is σ = 14619308618376. Its totient is φ = 11969024556720.

The previous prime is 13233100133191. The next prime is 13233100133251.

13233100133231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13233100133231 - 222 = 13233095938927 is a prime.

It is a super-2 number, since 2×132331001332312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13233100133231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233100133251) 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, 277550945 + ... + 277598618.

It is an arithmetic number, because the mean of its divisors is an integer number (1218275718198).

Almost surely, 213233100133231 is an apocalyptic number.

13233100133231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13233100133231 is a deficient number, since it is larger than the sum of its proper divisors (1386208485145).

13233100133231 is a wasteful number, since it uses less digits than its factorization.

13233100133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555149782 (or 555149771 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 13233100 and 133231, that added together give a palindrome (13366331).

The spelling of 13233100133231 in words is "thirteen trillion, two hundred thirty-three billion, one hundred million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 121 197 2167 23837 555149563 6106645193 67173097123 109364463911 1203009103021 13233100133231