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105233012131 = 1337218779651
BaseRepresentation
bin110001000000001100…
…0000101010110100011
3101001121212110220100211
41202000120011112203
53211004122342011
6120202100354551
710413525562432
oct1420030052643
9331555426324
10105233012131
11406a1323615
121848a3a5a57
139c00a13620
145144059119
152b0d86bb21
hex18806055a3

105233012131 has 8 divisors (see below), whose sum is σ = 116390774864. Its totient is φ = 94512808800.

The previous prime is 105233012123. The next prime is 105233012149. The reversal of 105233012131 is 131210332501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105233012131 - 23 = 105233012123 is a prime.

It is a super-2 number, since 2×1052330121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105233012431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109389345 + ... + 109390306.

It is an arithmetic number, because the mean of its divisors is an integer number (14548846858).

Almost surely, 2105233012131 is an apocalyptic number.

105233012131 is a deficient number, since it is larger than the sum of its proper divisors (11157762733).

105233012131 is a wasteful number, since it uses less digits than its factorization.

105233012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218779701.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105233012131 its reverse (131210332501), we get a palindrome (236443344632).

The spelling of 105233012131 in words is "one hundred five billion, two hundred thirty-three million, twelve thousand, one hundred thirty-one".

Divisors: 1 13 37 481 218779651 2844135463 8094847087 105233012131