Search a number
-
+
22120100112 = 2431161686789
BaseRepresentation
bin10100100110011101…
…011111000100010000
32010002120212111212010
4110212131133010100
5330300221200422
614054542302520
71412104514535
oct244635370420
963076774763
1022120100112
119421246680
124353b87a40
1321169b2646
1410dbac4d8c
15896e53b0c
hex52675f110

22120100112 has 80 divisors (see below), whose sum is σ = 63360498240. Its totient is φ = 6593164800.

The previous prime is 22120100111. The next prime is 22120100141. The reversal of 22120100112 is 21100102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22120100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311187 + ... + 375602.

It is an arithmetic number, because the mean of its divisors is an integer number (792006228).

Almost surely, 222120100112 is an apocalyptic number.

22120100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22120100112 is an abundant number, since it is smaller than the sum of its proper divisors (41240398128).

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

22120100112 is a wasteful number, since it uses less digits than its factorization.

22120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686872 (or 686866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22120100112 its reverse (21100102122), we get a palindrome (43220202234).

The spelling of 22120100112 in words is "twenty-two billion, one hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 5368 8052 10736 16104 32208 686789 1373578 2060367 2747156 4120734 5494312 7554679 8241468 10988624 15109358 16482936 22664037 30218716 32965872 41894129 45328074 60437432 83788258 90656148 120874864 125682387 167576516 181312296 251364774 335153032 362624592 460835419 502729548 670306064 921670838 1005459096 1382506257 1843341676 2010918192 2765012514 3686683352 5530025028 7373366704 11060050056 22120100112