Search a number
-
+
22022001210120 = 2335376948691079
BaseRepresentation
bin1010000000111011001011…
…00011110011001100001000
32212222021122010110122001220
411000131211203303030020
510341302024302210440
6114500433453242040
74432015501515462
oct500354543631410
985867563418056
1022022001210120
1170205296306aa
122578017793320
13c39886a01b22
14561c28ac5132
15282c996308d0
hex1407658f3308

22022001210120 has 64 divisors (see below), whose sum is σ = 66083533776000. Its totient is φ = 5870975420928.

The previous prime is 22022001210103. The next prime is 22022001210127. The reversal of 22022001210120 is 2101210022022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22022001210120.

It is not an unprimeable number, because it can be changed into a prime (22022001210127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23893260 + ... + 24797819.

It is an arithmetic number, because the mean of its divisors is an integer number (1032555215250).

Almost surely, 222022001210120 is an apocalyptic number.

22022001210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022001210120 is an abundant number, since it is smaller than the sum of its proper divisors (44061532565880).

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

22022001210120 is a wasteful number, since it uses less digits than its factorization.

22022001210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48694862 (or 48694858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22022001210120 its reverse (2101210022022), we get a palindrome (24123211232142).

The spelling of 22022001210120 in words is "twenty-two trillion, twenty-two billion, one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3769 7538 11307 15076 18845 22614 30152 37690 45228 56535 75380 90456 113070 150760 226140 452280 48691079 97382158 146073237 194764316 243455395 292146474 389528632 486910790 584292948 730366185 973821580 1168585896 1460732370 1947643160 2921464740 5842929480 183516676751 367033353502 550550030253 734066707004 917583383755 1101100060506 1468133414008 1835166767510 2202200121012 2752750151265 3670333535020 4404400242024 5505500302530 7340667070040 11011000605060 22022001210120