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10123000131020 = 225719416110714221
BaseRepresentation
bin1001001101001111000111…
…0100111010110111001100
31022211202020021200022101112
42103103301310322313030
52311323401013143040
633310235252431152
72063235244246340
oct223236164726714
938752207608345
1010123000131020
11325315a738a67
121175aa43184b8
13585796a7193a
1426dd54ab3620
151284c84b6365
hex934f1d3adcc

10123000131020 has 384 divisors, whose sum is σ = 26877859706880. Its totient is φ = 3125578752000.

The previous prime is 10123000130941. The next prime is 10123000131043. The reversal of 10123000131020 is 2013100032101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10123000130986 and 10123000131004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 711827510 + ... + 711841730.

It is an arithmetic number, because the mean of its divisors is an integer number (69994426320).

Almost surely, 210123000131020 is an apocalyptic number.

10123000131020 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 10123000131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438929853440).

10123000131020 is an abundant number, since it is smaller than the sum of its proper divisors (16754859575860).

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

10123000131020 is a wasteful number, since it uses less digits than its factorization.

10123000131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10123000131020 its reverse (2013100032101), we get a palindrome (12136100163121).

The spelling of 10123000131020 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-one thousand, twenty".