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882371900133 = 32191815111377
BaseRepresentation
bin11001101011100010111…
…01101011001011100101
310010100120000101211021200
430311301131223023211
5103424044201301013
61513204524033113
7120514666254243
oct14656135531345
93110500354250
10882371900133
11310236a30519
12123014692799
136529060bc99
14309c8127793
1517e44b35e73
hexcd7176b2e5

882371900133 has 12 divisors (see below), whose sum is σ = 1274603886348. Its totient is φ = 588217150080.

The previous prime is 882371900087. The next prime is 882371900159. The reversal of 882371900133 is 331009173288.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 321553641249 + 560818258884 = 567057^2 + 748878^2 .

It is not a de Polignac number, because 882371900133 - 213 = 882371891941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882371800133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2383060 + ... + 2728317.

It is an arithmetic number, because the mean of its divisors is an integer number (106216990529).

Almost surely, 2882371900133 is an apocalyptic number.

It is an amenable number.

882371900133 is a deficient number, since it is larger than the sum of its proper divisors (392231986215).

882371900133 is a wasteful number, since it uses less digits than its factorization.

882371900133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130564 (or 5130561 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 882371900133 in words is "eight hundred eighty-two billion, three hundred seventy-one million, nine hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 19181 57543 172629 5111377 15334131 46002393 98041322237 294123966711 882371900133