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10023110130132 = 22341121135273779
BaseRepresentation
bin1001000111011010111111…
…1010110011100111010100
31022111012101210000111120000
42101312233322303213110
52303204312143131012
633152315255211300
72053101004250061
oct221665772634724
938435353014500
1010023110130132
113214860403920
12115a667376b30
13579237c97038
1426919a4c7c68
15125acdc58ddc
hex91dafeb39d4

10023110130132 has 240 divisors, whose sum is σ = 28735641285120. Its totient is φ = 3021254510400.

The previous prime is 10023110130113. The next prime is 10023110130193. The reversal of 10023110130132 is 23103101132001.

10023110130132 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 101 + 301 + 32 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2652316219 + ... + 2652319997.

It is an arithmetic number, because the mean of its divisors is an integer number (119731838688).

Almost surely, 210023110130132 is an apocalyptic number.

10023110130132 is a gapful number since it is divisible by the number (12) 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 10023110130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367820642560).

10023110130132 is an abundant number, since it is smaller than the sum of its proper divisors (18712531154988).

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

10023110130132 is a wasteful number, since it uses less digits than its factorization.

10023110130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10023110130132 its reverse (23103101132001), we get a palindrome (33126211262133).

The spelling of 10023110130132 in words is "ten trillion, twenty-three billion, one hundred ten million, one hundred thirty thousand, one hundred thirty-two".