Search a number
-
+
220022100000120 = 233511166683409091
BaseRepresentation
bin110010000001101111100011…
…000111001111110101111000
31001212000220111110010220002010
4302001233203013033311320
5212314320230100000440
62055540431331205520
764226033514260565
oct6201574307176570
91055026443126063
10220022100000120
11641189375385a0
12208159101468a0
13959ccc2038462
143c491ab01386c
151a6842e208580
hexc81be31cfd78

220022100000120 has 64 divisors (see below), whose sum is σ = 720072327277440. Its totient is φ = 53338690908800.

The previous prime is 220022100000119. The next prime is 220022100000161. The reversal of 220022100000120 is 21000001220022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220022100000096 and 220022100000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83341703226 + ... + 83341705865.

It is an arithmetic number, because the mean of its divisors is an integer number (11251130113710).

Almost surely, 2220022100000120 is an apocalyptic number.

220022100000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022100000120 is an abundant number, since it is smaller than the sum of its proper divisors (500050227277320).

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

220022100000120 is a wasteful number, since it uses less digits than its factorization.

220022100000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166683409116 (or 166683409112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220022100000120 its reverse (21000001220022), we get a palindrome (241022101220142).

The spelling of 220022100000120 in words is "two hundred twenty trillion, twenty-two billion, one hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 166683409091 333366818182 500050227273 666733636364 833417045455 1000100454546 1333467272728 1666834090910 1833517500001 2000200909092 2500251136365 3333668181820 3667035000002 4000401818184 5000502272730 5500552500003 6667336363640 7334070000004 9167587500005 10001004545460 11001105000006 14668140000008 18335175000010 20002009090920 22002210000012 27502762500015 36670350000020 44004420000024 55005525000030 73340700000040 110011050000060 220022100000120