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10123000104 = 233764919283
BaseRepresentation
bin10010110110110000…
…01011100100101000
3222010111012200112210
421123120023210220
5131212442000404
64352255005120
7505600036560
oct113330134450
928114180483
1010123000104
114325195898
121b662097a0
13c54324ab9
146c061dda0
153e3aa7689
hex25b60b928

10123000104 has 64 divisors (see below), whose sum is σ = 28930429440. Its totient is φ = 2891528640.

The previous prime is 10123000093. The next prime is 10123000109. The reversal of 10123000104 is 40100032101.

It is a happy number.

It is a super-2 number, since 2×101230001042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10123000104.

It is not an unprimeable number, because it can be changed into a prime (10123000109) 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, 1085847 + ... + 1095129.

It is an arithmetic number, because the mean of its divisors is an integer number (452037960).

Almost surely, 210123000104 is an apocalyptic number.

10123000104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10123000104 is an abundant number, since it is smaller than the sum of its proper divisors (18807429336).

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

10123000104 is a wasteful number, since it uses less digits than its factorization.

10123000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10123000104 its reverse (40100032101), we get a palindrome (50223032205).

The spelling of 10123000104 in words is "ten billion, one hundred twenty-three million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6491 9283 12982 18566 19473 25964 27849 37132 38946 45437 51928 55698 64981 74264 77892 90874 111396 129962 136311 155784 181748 194943 222792 259924 272622 363496 389886 519848 545244 779772 1090488 1559544 60255953 120511906 180767859 241023812 361535718 421791671 482047624 723071436 843583342 1265375013 1446142872 1687166684 2530750026 3374333368 5061500052 10123000104