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10123110020 = 2251773407861
BaseRepresentation
bin10010110110110001…
…00110011010000100
3222010111102021022202
421123120212122010
5131213004010040
64352301214032
7505601005202
oct113330463204
928114367282
1010123110020
114325260431
121b66261318
13c54362b3a
146c064c072
153e3aca015
hex25b626684

10123110020 has 48 divisors (see below), whose sum is σ = 22817431728. Its totient is φ = 3758837760.

The previous prime is 10123110013. The next prime is 10123110029. The reversal of 10123110020 is 2001132101.

It can be written as a sum of positive squares in 8 ways, for example, as 10394176 + 10112715844 = 3224^2 + 100562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10123109983 and 10123110010.

It is not an unprimeable number, because it can be changed into a prime (10123110029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179111 + ... + 228750.

It is an arithmetic number, because the mean of its divisors is an integer number (475363161).

Almost surely, 210123110020 is an apocalyptic number.

10123110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123110020 is an abundant number, since it is smaller than the sum of its proper divisors (12694321708).

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

10123110020 is a wasteful number, since it uses less digits than its factorization.

10123110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407960 (or 407958 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10123110020 its reverse (2001132101), we get a palindrome (12124242121).

The spelling of 10123110020 in words is "ten billion, one hundred twenty-three million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 407861 815722 1631444 2039305 4078610 6933637 8157220 13867274 27734548 29773853 34668185 59547706 69336370 119095412 138672740 148869265 297738530 506155501 595477060 1012311002 2024622004 2530777505 5061555010 10123110020