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13122210132 = 2232389937033
BaseRepresentation
bin11000011100010010…
…10000100101010100
31020212111202100020200
430032021100211110
5203333241211012
610010034300500
7643115642253
oct141611204524
936774670220
1013122210132
115624166769
122662727730
1313117c08a5
148c6a9c79a
1551c0423dc
hex30e250954

13122210132 has 36 divisors (see below), whose sum is σ = 33255336660. Its totient is φ = 4362820992.

The previous prime is 13122210097. The next prime is 13122210137. The reversal of 13122210132 is 23101222131.

13122210132 is a `hidden beast` number, since 1 + 312 + 221 + 0 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9713285136 + 3408924996 = 98556^2 + 58386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122210137) 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 11 ways as a sum of consecutive naturals, for example, 454513 + ... + 482520.

Almost surely, 213122210132 is an apocalyptic number.

13122210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122210132 is an abundant number, since it is smaller than the sum of its proper divisors (20133126528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122210132 is a wasteful number, since it uses less digits than its factorization.

13122210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937432 (or 937427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122210132 its reverse (23101222131), we get a palindrome (36223432263).

The spelling of 13122210132 in words is "thirteen billion, one hundred twenty-two million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 937033 1874066 2811099 3748132 5622198 8433297 11244396 16866594 33733188 364505837 729011674 1093517511 1458023348 2187035022 3280552533 4374070044 6561105066 13122210132