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10023222132 = 22327116415641
BaseRepresentation
bin10010101010110111…
…00011101101110100
3221212112110102220100
421111123203231310
5131011421102012
64334332234100
7503245660650
oct112533435564
927775412810
1010023222132
114283936160
121b3890b930
13c3975b391
146b1289a60
153d9e488dc
hex2556e3b74

10023222132 has 144 divisors (see below), whose sum is σ = 31643224704. Its totient is φ = 2598912000.

The previous prime is 10023222119. The next prime is 10023222191. The reversal of 10023222132 is 23122232001.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774032 + ... + 1779672.

It is an arithmetic number, because the mean of its divisors is an integer number (219744616).

Almost surely, 210023222132 is an apocalyptic number.

10023222132 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 10023222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821612352).

10023222132 is an abundant number, since it is smaller than the sum of its proper divisors (21620002572).

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

10023222132 is a wasteful number, since it uses less digits than its factorization.

10023222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6305 counting only the distinct ones).

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

Adding to 10023222132 its reverse (23122232001), we get a palindrome (33145454133).

It can be divided in two parts, 100 and 23222132, that added together give a palindrome (23222232).

The spelling of 10023222132 in words is "ten billion, twenty-three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 641 693 924 1282 1386 1923 2564 2772 3846 4487 5641 5769 7051 7692 8974 11282 11538 13461 14102 16923 17948 21153 22564 23076 26922 28204 33846 39487 40383 42306 49357 50769 53844 62051 63459 67692 78974 80766 84612 98714 101538 118461 124102 126918 148071 157948 161532 186153 197428 203076 236922 248204 253836 296142 355383 372306 434357 444213 473844 558459 592284 710766 744612 868714 888426 1116918 1303071 1421532 1737428 1776852 2233836 2606142 3615881 3909213 5212284 7231762 7818426 10847643 14463524 15636852 21695286 25311167 32542929 39774691 43390572 50622334 65085858 75933501 79549382 101244668 119324073 130171716 151867002 159098764 227800503 238648146 278422837 303734004 357972219 455601006 477296292 556845674 715944438 835268511 911202012 1113691348 1431888876 1670537022 2505805533 3341074044 5011611066 10023222132