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10123132124 = 227361540433
BaseRepresentation
bin10010110110110001…
…01011110011011100
3222010111110101122102
421123120223303130
5131213010211444
64352301504232
7505601126510
oct113330536334
928114411572
1010123132124
114325275aa6
121b66272078
13c5436cc11
146c0656140
153e3ad184e
hex25b62bcdc

10123132124 has 12 divisors (see below), whose sum is σ = 20246264304. Its totient is φ = 4338485184.

The previous prime is 10123132121. The next prime is 10123132133. The reversal of 10123132124 is 42123132101.

10123132124 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 10123132096 and 10123132105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123132121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180770189 + ... + 180770244.

It is an arithmetic number, because the mean of its divisors is an integer number (1687188692).

Almost surely, 210123132124 is an apocalyptic number.

10123132124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10123132124 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10123132124 is a wasteful number, since it uses less digits than its factorization.

10123132124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361540444 (or 361540442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10123132124 its reverse (42123132101), we get a palindrome (52246264225).

The spelling of 10123132124 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 361540433 723080866 1446161732 2530783031 5061566062 10123132124