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10242240102 = 233316118423
BaseRepresentation
bin10011000100111110…
…00010111001100110
3222102210120201002000
421202133002321212
5131434003140402
64412154430130
7511545414213
oct114237027146
928383521060
1010242240102
114386528646
121b9a132346
13c72c43b03
146d23bcb0a
153ee2acc1c
hex2627c2e66

10242240102 has 32 divisors (see below), whose sum is σ = 23494748160. Its totient is φ = 3303947880.

The previous prime is 10242240049. The next prime is 10242240103. The reversal of 10242240102 is 20104224201.

10242240102 is a `hidden beast` number, since 102 + 422 + 40 + 102 = 666.

10242240102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102422401023 (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242240103) 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, 3057538 + ... + 3060885.

It is an arithmetic number, because the mean of its divisors is an integer number (734210880).

Almost surely, 210242240102 is an apocalyptic number.

10242240102 is an abundant number, since it is smaller than the sum of its proper divisors (13252508058).

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

10242240102 is a wasteful number, since it uses less digits than its factorization.

10242240102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118465 (or 6118459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10242240102 its reverse (20104224201), we get a palindrome (30346464303).

The spelling of 10242240102 in words is "ten billion, two hundred forty-two million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 6118423 12236846 18355269 36710538 55065807 110131614 165197421 189671113 330394842 379342226 569013339 1138026678 1707040017 3414080034 5121120051 10242240102