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10123042332 = 22313109595333
BaseRepresentation
bin10010110110110000…
…10101111000011100
3222010111021211110210
421123120111320130
5131212444323312
64352255532420
7505600303644
oct113330257034
928114254423
1010123042332
114325214597
121b6622a110
13c5433b0a0
146c0631524
153e3ab4e3c
hex25b615e1c

10123042332 has 48 divisors (see below), whose sum is σ = 25670802080. Its totient is φ = 3086201088.

The previous prime is 10123042301. The next prime is 10123042333. The reversal of 10123042332 is 23324032101.

10123042332 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 = 10123042299 and 10123042308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123042333) by changing a digit.

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, 280663 + ... + 314670.

Almost surely, 210123042332 is an apocalyptic number.

10123042332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123042332 is an abundant number, since it is smaller than the sum of its proper divisors (15547759748).

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

10123042332 is a wasteful number, since it uses less digits than its factorization.

10123042332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595462 (or 595460 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10123042332 its reverse (23324032101), we get a palindrome (33447074433).

The spelling of 10123042332 in words is "ten billion, one hundred twenty-three million, forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4251 5668 8502 17004 595333 1190666 1785999 2381332 3571998 7143996 7739329 15478658 23217987 30957316 46435974 64891297 92871948 129782594 194673891 259565188 389347782 778695564 843586861 1687173722 2530760583 3374347444 5061521166 10123042332