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10042011342 = 2331126896287
BaseRepresentation
bin10010101101000110…
…01110111011001110
3221220211211000212000
421112203032323032
5131031223330332
64340243053130
7503564454666
oct112643167316
927824730760
1010042011342
1142934a9830
121b430711a6
13c4060965c
146b397b1a6
153db90ab7c
hex2568ceece

10042011342 has 64 divisors (see below), whose sum is σ = 24357196800. Its totient is φ = 3041418240.

The previous prime is 10042011289. The next prime is 10042011349. The reversal of 10042011342 is 24311024001.

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 (10042011349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594123 + ... + 1600409.

It is an arithmetic number, because the mean of its divisors is an integer number (380581200).

Almost surely, 210042011342 is an apocalyptic number.

10042011342 is an abundant number, since it is smaller than the sum of its proper divisors (14315185458).

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

10042011342 is a wasteful number, since it uses less digits than its factorization.

10042011342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8998 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042011342 its reverse (24311024001), we get a palindrome (34353035343).

The spelling of 10042011342 in words is "ten billion, forty-two million, eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2689 5378 6287 8067 12574 16134 18861 24201 29579 37722 48402 56583 59158 69157 72603 88737 113166 138314 145206 169749 177474 207471 266211 339498 414942 532422 622413 798633 1244826 1597266 1867239 3734478 16905743 33811486 50717229 101434458 152151687 185963173 304303374 371926346 456455061 557889519 912910122 1115779038 1673668557 3347337114 5021005671 10042011342