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10123200342 = 234193288889
BaseRepresentation
bin10010110110110001…
…11100011101010110
3222010111120212020000
421123120330131112
5131213014402332
64352303152130
7505601532423
oct113330743526
928114525200
1010123200342
114325312282
121b662a5646
13c54394c98
146c0672d4a
153e3ae6b7c
hex25b63c756

10123200342 has 40 divisors (see below), whose sum is σ = 23877341400. Its totient is φ = 3196799136.

The previous prime is 10123200313. The next prime is 10123200349. The reversal of 10123200342 is 24300232101.

10123200342 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 320 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123200349) 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 19 ways as a sum of consecutive naturals, for example, 1641367 + ... + 1647522.

It is an arithmetic number, because the mean of its divisors is an integer number (596933535).

Almost surely, 210123200342 is an apocalyptic number.

10123200342 is an abundant number, since it is smaller than the sum of its proper divisors (13754141058).

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

10123200342 is a wasteful number, since it uses less digits than its factorization.

10123200342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288922 (or 3288913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10123200342 its reverse (24300232101), we get a palindrome (34423432443).

The spelling of 10123200342 in words is "ten billion, one hundred twenty-three million, two hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3288889 6577778 9866667 19733334 29600001 59200002 62488891 88800003 124977782 177600006 187466673 266400009 374933346 532800018 562400019 1124800038 1687200057 3374400114 5061600171 10123200342