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10240214202 = 2323741375017
BaseRepresentation
bin10011000100101110…
…10100010010111010
3222102122202210001200
421202113110102322
5131432443323302
64412043155030
7511522245621
oct114227242272
928378683050
1010240214202
114385374549
121b99515a76
13c726b495a
146d20126b8
153ee00c81c
hex2625d44ba

10240214202 has 48 divisors (see below), whose sum is σ = 23342620392. Its totient is φ = 3240138240.

The previous prime is 10240214177. The next prime is 10240214203. The reversal of 10240214202 is 20241204201.

10240214202 is a `hidden beast` number, since 1 + 0 + 240 + 2 + 1 + 420 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9751760001 + 488454201 = 98751^2 + 22101^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10240214203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160203 + ... + 214814.

Almost surely, 210240214202 is an apocalyptic number.

10240214202 is an abundant number, since it is smaller than the sum of its proper divisors (13102406190).

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

10240214202 is a wasteful number, since it uses less digits than its factorization.

10240214202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375103 (or 375100 counting only the distinct ones).

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

Adding to 10240214202 its reverse (20241204201), we get a palindrome (30481418403).

The spelling of 10240214202 in words is "ten billion, two hundred forty million, two hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4551 9102 13653 27306 375017 750034 1125051 2250102 3375153 6750306 13875629 15375697 27751258 30751394 41626887 46127091 83253774 92254182 124880661 138381273 249761322 276762546 568900789 1137801578 1706702367 3413404734 5120107101 10240214202