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22123112130 = 2325753662567
BaseRepresentation
bin10100100110101000…
…111110011011000010
32010002210112112120100
4110212220332123002
5330302004042010
614055131023230
71412142231120
oct244650763302
963083475510
1022123112130
119422a13649
124354b9ab16
1321174c85c2
1410dc26a910
1589734b2c0
hex526a3e6c2

22123112130 has 96 divisors (see below), whose sum is σ = 66977673984. Its totient is φ = 4961294208.

The previous prime is 22123112119. The next prime is 22123112131. The reversal of 22123112130 is 3121132122.

22123112130 is a `hidden beast` number, since 221 + 2 + 311 + 2 + 130 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22123112131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 297894 + ... + 364673.

It is an arithmetic number, because the mean of its divisors is an integer number (697684104).

Almost surely, 222123112130 is an apocalyptic number.

22123112130 is an abundant number, since it is smaller than the sum of its proper divisors (44854561854).

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

22123112130 is a wasteful number, since it uses less digits than its factorization.

22123112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662640 (or 662637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22123112130 its reverse (3121132122), we get a palindrome (25244244252).

The spelling of 22123112130 in words is "twenty-two billion, one hundred twenty-three million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 11130 16695 33390 662567 1325134 1987701 3312835 3975402 4637969 5963103 6625670 9275938 9938505 11926206 13913907 19877010 23189845 27827814 29815515 35116051 41741721 46379690 59631030 69569535 70232102 83483442 105348153 139139070 175580255 208708605 210696306 245812357 316044459 351160510 417417210 491624714 526740765 632088918 737437071 1053481530 1229061785 1474874142 1580222295 2212311213 2458123570 3160444590 3687185355 4424622426 7374370710 11061556065 22123112130