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10410202242 = 2331167326041
BaseRepresentation
bin10011011000111111…
…10001010010000010
3222212111122001211000
421230133301102002
5132310002432432
64440554432430
7515655154566
oct115437612202
928774561730
1010410202242
114462319030
122026432716
13c9b9916ab
1470a8216a6
1540ddd957c
hex26c7f1482

10410202242 has 64 divisors (see below), whose sum is σ = 25275323520. Its totient is φ = 3149798400.

The previous prime is 10410202237. The next prime is 10410202249. The reversal of 10410202242 is 24220201401.

10410202242 is a `hidden beast` number, since 10 + 410 + 2 + 0 + 2 + 242 = 666.

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 (10410202249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386742 + ... + 412782.

It is an arithmetic number, because the mean of its divisors is an integer number (394926930).

Almost surely, 210410202242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10410202242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637661760).

10410202242 is an abundant number, since it is smaller than the sum of its proper divisors (14865121278).

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

10410202242 is a wasteful number, since it uses less digits than its factorization.

10410202242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26736 (or 26730 counting only the distinct ones).

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

Adding to 10410202242 its reverse (24220201401), we get a palindrome (34630403643).

The spelling of 10410202242 in words is "ten billion, four hundred ten million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 673 1346 2019 4038 6057 7403 12114 14806 18171 22209 26041 36342 44418 52082 66627 78123 133254 156246 199881 234369 286451 399762 468738 572902 703107 859353 1406214 1718706 2578059 5156118 7734177 15468354 17525593 35051186 52576779 105153558 157730337 192781523 315460674 385563046 473191011 578344569 946382022 1156689138 1735033707 3470067414 5205101121 10410202242