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10103013342 = 232561278519
BaseRepresentation
bin10010110100010111…
…11011111111011110
3222002002121020212100
421122023323333132
5131142332411332
64350302345530
7505235124252
oct113213737736
928062536770
1010103013342
114314984504
121b5b58b2a6
13c50147706
146bbada262
153e1e5a67c
hex25a2fbfde

10103013342 has 12 divisors (see below), whose sum is σ = 21889862280. Its totient is φ = 3367671108.

The previous prime is 10103013341. The next prime is 10103013343. The reversal of 10103013342 is 24331030101.

10103013342 is a `hidden beast` number, since 10 + 10 + 301 + 3 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (10103013341) and next prime (10103013343).

It is a super-3 number, since 3×101030133423 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 561278519 = 10103013342 / (1 + 0 + 1 + 0 + 3 + 0 + 1 + 3 + 3 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103013341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280639242 + ... + 280639277.

It is an arithmetic number, because the mean of its divisors is an integer number (1824155190).

Almost surely, 210103013342 is an apocalyptic number.

10103013342 is an abundant number, since it is smaller than the sum of its proper divisors (11786848938).

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

10103013342 is a wasteful number, since it uses less digits than its factorization.

10103013342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561278527 (or 561278524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10103013342 its reverse (24331030101), we get a palindrome (34434043443).

The spelling of 10103013342 in words is "ten billion, one hundred three million, thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 561278519 1122557038 1683835557 3367671114 5051506671 10103013342