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10123410132 = 2236112910883
BaseRepresentation
bin10010110110110011…
…01111101011010100
3222010111222112000000
421123121233223110
5131213043111012
64352311451300
7505603365153
oct113331575324
928114875000
1010123410132
114325445960
121b66386b30
13c54439614
146c06c959a
153e3b38ddc
hex25b66fad4

10123410132 has 168 divisors, whose sum is σ = 29978454240. Its totient is φ = 2961645120.

The previous prime is 10123410131. The next prime is 10123410133. The reversal of 10123410132 is 23101432101.

10123410132 is a `hidden beast` number, since 1 + 0 + 123 + 410 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (10123410131) and next prime (10123410133).

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 (10123410131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 924763 + ... + 935645.

It is an arithmetic number, because the mean of its divisors is an integer number (178443180).

Almost surely, 210123410132 is an apocalyptic number.

10123410132 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 10123410132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989227120).

10123410132 is an abundant number, since it is smaller than the sum of its proper divisors (19855044108).

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

10123410132 is a wasteful number, since it uses less digits than its factorization.

10123410132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10928 counting only the distinct ones).

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

Adding to 10123410132 its reverse (23101432101), we get a palindrome (33224842233).

The spelling of 10123410132 in words is "ten billion, one hundred twenty-three million, four hundred ten thousand, one hundred thirty-two".