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22540212102120 = 2335187835100851
BaseRepresentation
bin1010010000000000011010…
…10101011110001111101000
32221210211020010200111202220
411020000031111132033220
510423244323244231440
6115534455215154040
74514322316440546
oct510001525361750
987724203614686
1022540212102120
117200283122869
12264053b515920
13c766c097c02b
1457cd48750d96
152914c8dc88d0
hex14800d55e3e8

22540212102120 has 32 divisors (see below), whose sum is σ = 67620636306720. Its totient is φ = 6010723227200.

The previous prime is 22540212102097. The next prime is 22540212102139. The reversal of 22540212102120 is 2120121204522.

It is a happy number.

It is a super-2 number, since 2×225402121021202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 93917550306 + ... + 93917550545.

It is an arithmetic number, because the mean of its divisors is an integer number (2113144884585).

Almost surely, 222540212102120 is an apocalyptic number.

22540212102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22540212102120 is an abundant number, since it is smaller than the sum of its proper divisors (45080424204600).

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

22540212102120 is a wasteful number, since it uses less digits than its factorization.

22540212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187835100865 (or 187835100861 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 22540212102120 its reverse (2120121204522), we get a palindrome (24660333306642).

The spelling of 22540212102120 in words is "twenty-two trillion, five hundred forty billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 187835100851 375670201702 563505302553 751340403404 939175504255 1127010605106 1502680806808 1878351008510 2254021210212 2817526512765 3756702017020 4508042420424 5635053025530 7513404034040 11270106051060 22540212102120