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22123103130 = 2345211129443
BaseRepresentation
bin10100100110101000…
…111100001110011010
32010002210112002020000
4110212220330032122
5330302003300010
614055130513430
71412142162642
oct244650741632
963083462200
1022123103130
119422a07907
124354b95876
1321174c448b
1410dc267522
158973487c0
hex526a3c39a

22123103130 has 80 divisors (see below), whose sum is σ = 59768954784. Its totient is φ = 5871489120.

The previous prime is 22123103129. The next prime is 22123103137. The reversal of 22123103130 is 3130132122.

22123103130 is a `hidden beast` number, since 221 + 2 + 310 + 3 + 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 (22123103137) 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 39 ways as a sum of consecutive naturals, for example, 106189 + ... + 235631.

Almost surely, 222123103130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29884477392).

22123103130 is an abundant number, since it is smaller than the sum of its proper divisors (37645851654).

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

22123103130 is a wasteful number, since it uses less digits than its factorization.

22123103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129673 (or 129664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22123103130 its reverse (3130132122), we get a palindrome (25253235252).

The spelling of 22123103130 in words is "twenty-two billion, one hundred twenty-three million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 211 270 405 422 633 810 1055 1266 1899 2110 3165 3798 5697 6330 9495 11394 17091 18990 28485 34182 56970 85455 129443 170910 258886 388329 647215 776658 1164987 1294430 1941645 2329974 3494961 3883290 5824935 6989922 10484883 11649870 17474805 20969766 27312473 34949610 52424415 54624946 81937419 104848830 136562365 163874838 245812257 273124730 409687095 491624514 737436771 819374190 1229061285 1474873542 2212310313 2458122570 3687183855 4424620626 7374367710 11061551565 22123103130