Search a number
BaseRepresentation
bin1001001101001111100011…
…1110110000011110000000
31022211202112122111221000202
42103103320332300132000
52311324122224303100
633310255221104332
72063241232351145
oct223237076603600
938752478457022
1010123120150400
113253211463334
121175b185580a8
135857b58a461a
1426dd669d63cc
151284d3cc27d5
hex934f8fb0780

10123120150400 has 192 divisors, whose sum is σ = 25107854676000. Its totient is φ = 4032992747520.

The previous prime is 10123120150387. The next prime is 10123120150447. The reversal of 10123120150400 is 405102132101.

Adding to 10123120150400 its reverse (405102132101), we get a palindrome (10528222282501).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900707981 + ... + 900719219.

Almost surely, 210123120150400 is an apocalyptic number.

10123120150400 is a gapful number since it is divisible by the number (10) 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 10123120150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553927338000).

10123120150400 is an abundant number, since it is smaller than the sum of its proper divisors (14984734525600).

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

10123120150400 is a wasteful number, since it uses less digits than its factorization.

10123120150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 10123120150400 in words is "ten trillion, one hundred twenty-three billion, one hundred twenty million, one hundred fifty thousand, four hundred".