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10004023422 = 2341721071997
BaseRepresentation
bin10010101000100100…
…10100100001111110
3221211012100001020000
421110102110201332
5130442012222142
64332404535130
7502623540021
oct112422244176
927735301200
1010004023422
114274012958
121b323b14a6
13c357988b3
146ac8cd1b8
153d840514c
hex25449487e

10004023422 has 120 divisors (see below), whose sum is σ = 24047184744. Its totient is φ = 3107628288.

The previous prime is 10004023399. The next prime is 10004023433. The reversal of 10004023422 is 22432040001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10004023395 and 10004023404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5008528 + ... + 5010524.

Almost surely, 210004023422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004023422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023592372).

10004023422 is an abundant number, since it is smaller than the sum of its proper divisors (14043161322).

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

10004023422 is a wasteful number, since it uses less digits than its factorization.

10004023422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2126 counting only the distinct ones).

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

Adding to 10004023422 its reverse (22432040001), we get a palindrome (32436063423).

The spelling of 10004023422 in words is "ten billion, four million, twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 107 153 162 214 289 306 321 459 578 642 867 918 963 1377 1734 1819 1926 1997 2601 2754 2889 3638 3994 5202 5457 5778 5991 7803 8667 10914 11982 15606 16371 17334 17973 23409 30923 32742 33949 35946 46818 49113 53919 61846 67898 92769 98226 101847 107838 147339 161757 185538 203694 213679 278307 294678 305541 323514 427358 556614 577133 611082 641037 834921 916623 1154266 1282074 1669842 1731399 1833246 1923111 2504763 2749869 3462798 3632543 3846222 5009526 5194197 5499738 5769333 7265086 10388394 10897629 11538666 15582591 17307999 21795258 31165182 32692887 34615998 46747773 61753231 65385774 93495546 98078661 123506462 185259693 196157322 294235983 370519386 555779079 588471966 1111558158 1667337237 3334674474 5002011711 10004023422