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23202102132 = 223311107349523
BaseRepresentation
bin10101100110111100…
…111111101101110100
32012212222211220121000
4111212330333231310
5340004214232012
614354153323300
71450653420426
oct254674775564
965788756530
1023202102132
119926a88820
1245b6406530
132259c01221
1411a169a816
1590be31ddc
hex566f3fb74

23202102132 has 192 divisors, whose sum is σ = 66552192000. Its totient is φ = 6931992960.

The previous prime is 23202102101. The next prime is 23202102167. The reversal of 23202102132 is 23120120232.

23202102132 is a `hidden beast` number, since 2 + 320 + 210 + 2 + 132 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44363223 + ... + 44363745.

It is an arithmetic number, because the mean of its divisors is an integer number (346626000).

Almost surely, 223202102132 is an apocalyptic number.

23202102132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23202102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276096000).

23202102132 is an abundant number, since it is smaller than the sum of its proper divisors (43350089868).

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

23202102132 is a wasteful number, since it uses less digits than its factorization.

23202102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23202102132 its reverse (23120120232), we get a palindrome (46322222364).

The spelling of 23202102132 in words is "twenty-three billion, two hundred two million, one hundred two thousand, one hundred thirty-two".