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10022433312 = 2533719714323
BaseRepresentation
bin10010101010110001…
…00011001000100000
3221212110222100211210
421111120203020200
5131011220331222
64334303310120
7503236164123
oct112530431040
927773870753
1010022433312
114283447541
121b385ab340
13c39543318
146b11223ba
153d9d3ed0c
hex255623220

10022433312 has 96 divisors (see below), whose sum is σ = 27158991552. Its totient is φ = 3233793024.

The previous prime is 10022433293. The next prime is 10022433341. The reversal of 10022433312 is 21333422001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692583 + ... + 706905.

It is an arithmetic number, because the mean of its divisors is an integer number (282906162).

Almost surely, 210022433312 is an apocalyptic number.

10022433312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579495776).

10022433312 is an abundant number, since it is smaller than the sum of its proper divisors (17136558240).

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

10022433312 is a wasteful number, since it uses less digits than its factorization.

10022433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14570 (or 14562 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10022433312 its reverse (21333422001), we get a palindrome (31355855313).

The spelling of 10022433312 in words is "ten billion, twenty-two million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 197 222 296 394 444 591 592 788 888 1182 1184 1576 1776 2364 3152 3552 4728 6304 7289 9456 14323 14578 18912 21867 28646 29156 42969 43734 57292 58312 85938 87468 114584 116624 171876 174936 229168 233248 343752 349872 458336 529951 687504 699744 1059902 1375008 1589853 2119804 2821631 3179706 4239608 5643262 6359412 8464893 8479216 11286524 12718824 16929786 16958432 22573048 25437648 33859572 45146096 50875296 67719144 90292192 104400347 135438288 208800694 270876576 313201041 417601388 626402082 835202776 1252804164 1670405552 2505608328 3340811104 5011216656 10022433312