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10042103304 = 23364633719
BaseRepresentation
bin10010101101000111…
…00101011000001000
3221220211222201000000
421112203211120020
5131031234301204
64340245043000
7503565320052
oct112643453010
927824881000
1010042103304
114293561932
121b430b6460
13c4063c47c
146b39a28d2
153db928039
hex2568e5608

10042103304 has 112 divisors (see below), whose sum is σ = 28299081600. Its totient is φ = 3339239904.

The previous prime is 10042103263. The next prime is 10042103339. The reversal of 10042103304 is 40330124001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2698357 + ... + 2702075.

Almost surely, 210042103304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042103304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149540800).

10042103304 is an abundant number, since it is smaller than the sum of its proper divisors (18256978296).

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

10042103304 is an equidigital number, since it uses as much as digits as its factorization.

10042103304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10042103304 its reverse (40330124001), we get a palindrome (50372227305).

The spelling of 10042103304 in words is "ten billion, forty-two million, one hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 463 486 648 729 926 972 1389 1458 1852 1944 2778 2916 3704 3719 4167 5556 5832 7438 8334 11112 11157 12501 14876 16668 22314 25002 29752 33336 33471 37503 44628 50004 66942 75006 89256 100008 100413 112509 133884 150012 200826 225018 267768 300024 301239 337527 401652 450036 602478 675054 803304 900072 903717 1204956 1350108 1721897 1807434 2409912 2700216 2711151 3443794 3614868 5165691 5422302 6887588 7229736 10331382 10844604 13775176 15497073 20662764 21689208 30994146 41325528 46491219 61988292 92982438 123976584 139473657 185964876 278947314 371929752 418420971 557894628 836841942 1115789256 1255262913 1673683884 2510525826 3347367768 5021051652 10042103304