Search a number
-
+
22120124401320 = 23351191932035693
BaseRepresentation
bin1010000011110001111100…
…01010000100011010101000
32220022122220111120012122120
411001320332022010122220
510344404003321320240
6115013502253551240
74442061206054301
oct501707612043250
986278814505576
1022120124401320
117059101610550
122593040aa5520
13c45bc373a7ca
145668967977a8
152855ddbddad0
hex141e3e2846a8

22120124401320 has 256 divisors, whose sum is σ = 72507268454400. Its totient is φ = 5354006307840.

The previous prime is 22120124401313. The next prime is 22120124401337. The reversal of 22120124401320 is 2310442102122.

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 63 ways as a sum of consecutive naturals, for example, 3885492394 + ... + 3885498086.

It is an arithmetic number, because the mean of its divisors is an integer number (283231517400).

Almost surely, 222120124401320 is an apocalyptic number.

22120124401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120124401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36253634227200).

22120124401320 is an abundant number, since it is smaller than the sum of its proper divisors (50387144053080).

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

22120124401320 is a wasteful number, since it uses less digits than its factorization.

22120124401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22120124401320 its reverse (2310442102122), we get a palindrome (24430566503442).

The spelling of 22120124401320 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-four million, four hundred one thousand, three hundred twenty".