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10042030242 = 234101613741
BaseRepresentation
bin10010101101000110…
…10011100010100010
3221220211211222210000
421112203103202202
5131031224431432
64340243320430
7503564564046
oct112643234242
927824758700
1010042030242
114293511a52
121b43080116
13c4061513a
146b3984026
153db91157c
hex2568d38a2

10042030242 has 40 divisors (see below), whose sum is σ = 22724411292. Its totient is φ = 3314196000.

The previous prime is 10042030213. The next prime is 10042030249. The reversal of 10042030242 is 24203024001.

10042030242 is a `hidden beast` number, since 1 + 0 + 0 + 420 + 3 + 0 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9674886321 + 367143921 = 98361^2 + 19161^2 .

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 (10042030249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290509 + ... + 323232.

Almost surely, 210042030242 is an apocalyptic number.

10042030242 is an abundant number, since it is smaller than the sum of its proper divisors (12682381050).

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

10042030242 is a wasteful number, since it uses less digits than its factorization.

10042030242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613856 (or 613847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10042030242 its reverse (24203024001), we get a palindrome (34245054243).

The spelling of 10042030242 in words is "ten billion, forty-two million, thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 16362 613741 1227482 1841223 3682446 5523669 11047338 16571007 33142014 49713021 61987841 99426042 123975682 185963523 371927046 557890569 1115781138 1673671707 3347343414 5021015121 10042030242