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22301031104 = 2611234433109
BaseRepresentation
bin10100110001001111…
…101011101011000000
32010120012022202111222
4110301033223223000
5331133030443404
614124524254212
71416432431252
oct246117535300
963505282458
1022301031104
119504394820
1243a46a1368
1321453211c1
141117b41cd2
158a7c92dbe
hex5313ebac0

22301031104 has 112 divisors (see below), whose sum is σ = 50505603840. Its totient is φ = 9671101440.

The previous prime is 22301031097. The next prime is 22301031119. The reversal of 22301031104 is 40113010322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171502 + ... + 7174610.

Almost surely, 222301031104 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 22301031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25252801920).

22301031104 is an abundant number, since it is smaller than the sum of its proper divisors (28204572736).

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

22301031104 is a wasteful number, since it uses less digits than its factorization.

22301031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22301031104 its reverse (40113010322), we get a palindrome (62414041426).

The spelling of 22301031104 in words is "twenty-two billion, three hundred one million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 443 506 704 736 886 1012 1472 1772 2024 3109 3544 4048 4873 6218 7088 8096 9746 10189 12436 14176 16192 19492 20378 24872 28352 34199 38984 40756 49744 68398 71507 77968 81512 99488 112079 136796 143014 155936 163024 198976 224158 273592 286028 311872 326048 448316 547184 572056 652096 786577 896632 1094368 1144112 1377287 1573154 1793264 2188736 2288224 2754574 3146308 3586528 4576448 5509148 6292616 7173056 11018296 12585232 15150157 22036592 25170464 30300314 31677601 44073184 50340928 60600628 63355202 88146368 121201256 126710404 242402512 253420808 348453611 484805024 506841616 696907222 969610048 1013683232 1393814444 2027366464 2787628888 5575257776 11150515552 22301031104