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22121102012232 = 23316729179189151
BaseRepresentation
bin1010000011110011110000…
…11011010110111101001000
32220022202102122002222201010
411001321320123112331020
510344413004103342412
6115014143255323520
74442124346446006
oct501717033267510
986282378088633
1022121102012232
117059563432053
1225932743805a0
13c4601b138cc2
1456694a557a76
1528564994b33c
hex141e786d6f48

22121102012232 has 64 divisors (see below), whose sum is σ = 55636110028800. Its totient is φ = 7329256833600.

The previous prime is 22121102012231. The next prime is 22121102012237. The reversal of 22121102012232 is 23221020112122.

It is a junction number, because it is equal to n+sod(n) for n = 22121102012199 and 22121102012208.

It is not an unprimeable number, because it can be changed into a prime (22121102012231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116854857 + ... + 117044007.

It is an arithmetic number, because the mean of its divisors is an integer number (869314219200).

Almost surely, 222121102012232 is an apocalyptic number.

It is an amenable number.

22121102012232 is an abundant number, since it is smaller than the sum of its proper divisors (33515008016568).

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

22121102012232 is a wasteful number, since it uses less digits than its factorization.

22121102012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218506 (or 218502 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22121102012232 its reverse (23221020112122), we get a palindrome (45342122124354).

The spelling of 22121102012232 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 167 334 501 668 1002 1336 2004 4008 29179 58358 87537 116716 175074 189151 233432 350148 378302 567453 700296 756604 1134906 1513208 2269812 4539624 4872893 9745786 14618679 19491572 29237358 31588217 38983144 58474716 63176434 94764651 116949432 126352868 189529302 252705736 379058604 758117208 5519237029 11038474058 16557711087 22076948116 33115422174 44153896232 66230844348 132461688696 921712583843 1843425167686 2765137751529 3686850335372 5530275503058 7373700670744 11060551006116 22121102012232