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10123041012 = 2237611975613
BaseRepresentation
bin10010110110110000…
…10101100011110100
3222010111021202122220
421123120111203310
5131212444303022
64352255522340
7505600300050
oct113330254364
928114252586
1010123041012
1143252135a7
121b662293b0
13c5433a5c6
146c0630c60
153e3ab485c
hex25b6158f4

10123041012 has 48 divisors (see below), whose sum is σ = 27437327232. Its totient is φ = 2844881280.

The previous prime is 10123041007. The next prime is 10123041023. The reversal of 10123041012 is 21014032101.

10123041012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10123040982 and 10123041000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982683 + ... + 992930.

It is an arithmetic number, because the mean of its divisors is an integer number (571610984).

Almost surely, 210123041012 is an apocalyptic number.

10123041012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123041012 is an abundant number, since it is smaller than the sum of its proper divisors (17314286220).

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

10123041012 is a wasteful number, since it uses less digits than its factorization.

10123041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975688 (or 1975686 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10123041012 its reverse (21014032101), we get a palindrome (31137073113).

The spelling of 10123041012 in words is "ten billion, one hundred twenty-three million, forty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 1975613 3951226 5926839 7902452 11853678 13829291 23707356 27658582 41487873 55317164 82975746 120512393 165951492 241024786 361537179 482049572 723074358 843586751 1446148716 1687173502 2530760253 3374347004 5061520506 10123041012