Search a number
-
+
22120101002200 = 2352431592562629
BaseRepresentation
bin1010000011110001111001…
…10000110011101111011000
32220022122211212112102002111
411001320330300303233120
510344403431324032300
6115013500100242104
74442060503140265
oct501707460635730
986278755472074
1022120101002200
11705909a389433
1225930350a0334
13c45bbb937186
1456689362626c
152855dbb1a9ba
hex141e3cc33bd8

22120101002200 has 48 divisors (see below), whose sum is σ = 51430446522000. Its totient is φ = 8847831937920.

The previous prime is 22120101002179. The next prime is 22120101002203. The reversal of 22120101002200 is 220010102122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120101002203) 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 11 ways as a sum of consecutive naturals, for example, 7350486 + ... + 9913114.

It is an arithmetic number, because the mean of its divisors is an integer number (1071467635875).

Almost surely, 222120101002200 is an apocalyptic number.

22120101002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120101002200 is an abundant number, since it is smaller than the sum of its proper divisors (29310345519800).

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

22120101002200 is a wasteful number, since it uses less digits than its factorization.

22120101002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605804 (or 2605795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22120101002200 its reverse (220010102122), we get a palindrome (22340111104322).

The spelling of 22120101002200 in words is "twenty-two trillion, one hundred twenty billion, one hundred one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 43159 86318 172636 215795 345272 431590 863180 1078975 1726360 2157950 2562629 4315900 5125258 8631800 10250516 12813145 20501032 25626290 51252580 64065725 102505160 128131450 256262900 512525800 110600505011 221201010022 442402020044 553002525055 884804040088 1106005050110 2212010100220 2765012625275 4424020200440 5530025250550 11060050501100 22120101002200