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10242344052 = 223510537391
BaseRepresentation
bin10011000100111110…
…11100010001110100
3222102210202222200000
421202133130101310
5131434020002202
64412200551300
7511546326243
oct114237342164
928383688600
1010242344052
114386599756
121b9a182530
13c72c7c215
146d240895a
153ee2cd91c
hex2627dc474

10242344052 has 36 divisors (see below), whose sum is σ = 26849274816. Its totient is φ = 3414114360.

The previous prime is 10242344051. The next prime is 10242344071. The reversal of 10242344052 is 25044324201.

10242344052 is a `hidden beast` number, since 1 + 0 + 24 + 234 + 405 + 2 = 666.

10242344052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102423440522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242344051) 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 11 ways as a sum of consecutive naturals, for example, 5267724 + ... + 5269667.

Almost surely, 210242344052 is an apocalyptic number.

10242344052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10242344052 is an abundant number, since it is smaller than the sum of its proper divisors (16606930764).

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

10242344052 is a wasteful number, since it uses less digits than its factorization.

10242344052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537410 (or 10537396 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10242344052 its reverse (25044324201), we get a palindrome (35286668253).

The spelling of 10242344052 in words is "ten billion, two hundred forty-two million, three hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 10537391 21074782 31612173 42149564 63224346 94836519 126448692 189673038 284509557 379346076 569019114 853528671 1138038228 1707057342 2560586013 3414114684 5121172026 10242344052