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22133321130 = 23523296118133
BaseRepresentation
bin10100100111001111…
…111010110110101010
32010010111202012200110
4110213033322312222
5330312112234010
614100133515150
71412325061014
oct244717726652
963114665613
1022133321130
119428756838
1243584a2ab6
13211966132b
1410dd7671b4
158981b6120
hex5273fadaa

22133321130 has 128 divisors (see below), whose sum is σ = 58284126720. Its totient is φ = 5361269760.

The previous prime is 22133321051. The next prime is 22133321137. The reversal of 22133321130 is 3112333122.

It is a junction number, because it is equal to n+sod(n) for n = 22133321097 and 22133321106.

It is not an unprimeable number, because it can be changed into a prime (22133321137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211544 + ... + 1229676.

It is an arithmetic number, because the mean of its divisors is an integer number (455344740).

Almost surely, 222133321130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142063360).

22133321130 is an abundant number, since it is smaller than the sum of its proper divisors (36150805590).

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

22133321130 is a wasteful number, since it uses less digits than its factorization.

22133321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18256.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22133321130 its reverse (3112333122), we get a palindrome (25245654252).

The spelling of 22133321130 in words is "twenty-two billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 61 69 87 115 122 138 145 174 183 230 290 305 345 366 435 610 667 690 870 915 1334 1403 1769 1830 2001 2806 3335 3538 4002 4209 5307 6670 7015 8418 8845 10005 10614 14030 17690 18133 20010 21045 26535 36266 40687 42090 53070 54399 81374 90665 108798 122061 181330 203435 244122 271995 406870 417059 525857 543990 610305 834118 1051714 1106113 1220610 1251177 1577571 2085295 2212226 2502354 2629285 3155142 3318339 4170590 5258570 5530565 6255885 6636678 7887855 11061130 12094711 12511770 15775710 16591695 24189422 25440599 32077277 33183390 36284133 50881198 60473555 64154554 72568266 76321797 96231831 120947110 127202995 152643594 160386385 181420665 192463662 254405990 320772770 362841330 381608985 481159155 737777371 763217970 962318310 1475554742 2213332113 3688886855 4426664226 7377773710 11066660565 22133321130