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10133200131 = 343671172417
BaseRepresentation
bin10010110111111110…
…00101110100000011
3222011012101220100120
421123333011310003
5131223044401011
64353301351323
7506052531345
oct113377056403
928135356316
1010133200131
11432aa2226a
121b69708543
13c56486712
146c1b17295
153e491ea06
hex25bfc5d03

10133200131 has 16 divisors (see below), whose sum is σ = 14031498624. Its totient is φ = 6499874304.

The previous prime is 10133200123. The next prime is 10133200177. The reversal of 10133200131 is 13100233101.

10133200131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133200131 - 23 = 10133200123 is a prime.

It is a super-2 number, since 2×101332001312 (a number of 21 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 10133200131.

It is not an unprimeable number, because it can be changed into a prime (10133200531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577566 + ... + 594851.

It is an arithmetic number, because the mean of its divisors is an integer number (876968664).

Almost surely, 210133200131 is an apocalyptic number.

10133200131 is a deficient number, since it is larger than the sum of its proper divisors (3898298493).

10133200131 is a wasteful number, since it uses less digits than its factorization.

10133200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172530.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133200131 its reverse (13100233101), we get a palindrome (23233433232).

The spelling of 10133200131 in words is "ten billion, one hundred thirty-three million, two hundred thousand, one hundred thirty-one".

Divisors: 1 3 43 67 129 201 2881 8643 1172417 3517251 50413931 78551939 151241793 235655817 3377733377 10133200131