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23322102132 = 2237296741017
BaseRepresentation
bin10101101110000110…
…110000100101110100
32020012100122112122110
4111232012300211310
5340230424232012
614414121331020
71453641411600
oct255606604564
966170575573
1023322102132
11998879a57a
12462a636a70
132278a28144
1411b35b6500
1591773773c
hex56e1b0974

23322102132 has 72 divisors (see below), whose sum is σ = 63369856704. Its totient is φ = 6656404608.

The previous prime is 23322102131. The next prime is 23322102149. The reversal of 23322102132 is 23120122332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23322102099 and 23322102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548088 + ... + 589104.

Almost surely, 223322102132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31684928352).

23322102132 is an abundant number, since it is smaller than the sum of its proper divisors (40047754572).

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

23322102132 is a wasteful number, since it uses less digits than its factorization.

23322102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42005 (or 41996 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23322102132 its reverse (23120122332), we get a palindrome (46442224464).

The spelling of 23322102132 in words is "twenty-three billion, three hundred twenty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 967 1934 2901 3868 5802 6769 11604 13538 20307 27076 40614 41017 47383 81228 82034 94766 123051 142149 164068 189532 246102 284298 287119 492204 568596 574238 861357 1148476 1722714 2009833 3445428 4019666 6029499 8039332 12058998 24117996 39663439 79326878 118990317 158653756 237980634 277644073 475961268 555288146 832932219 1110576292 1665864438 1943508511 3331728876 3887017022 5830525533 7774034044 11661051066 23322102132