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222145203121131 = 31913953035287199
BaseRepresentation
bin110010100000101000110101…
…111010111010101111101011
31002010112212121011020020022110
4302200220311322322233223
5213104111333444334011
62104244033015253403
764535314136115243
oct6240506572725753
91063485534206273
10222145203121131
1164867284937214
1220ab928b07a263
1396c5283635664
143cbdc56db6b23
151aa378e7eeba6
hexca0a35ebabeb

222145203121131 has 32 divisors (see below), whose sum is σ = 314085058560000. Its totient is φ = 139266571818528.

The previous prime is 222145203121081. The next prime is 222145203121139. The reversal of 222145203121131 is 131121302541222.

It is not a de Polignac number, because 222145203121131 - 26 = 222145203121067 is a prime.

It is a super-2 number, since 2×2221452031211312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222145203121139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39372070 + ... + 44659268.

It is an arithmetic number, because the mean of its divisors is an integer number (9815158080000).

Almost surely, 2222145203121131 is an apocalyptic number.

222145203121131 is a deficient number, since it is larger than the sum of its proper divisors (91939855438869).

222145203121131 is a wasteful number, since it uses less digits than its factorization.

222145203121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292663.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 222145203121131 its reverse (131121302541222), we get a palindrome (353266505662353).

The spelling of 222145203121131 in words is "two hundred twenty-two trillion, one hundred forty-five billion, two hundred three million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 19 57 139 417 2641 5303 7923 15909 100757 302271 737117 2211351 5287199 14005223 15861597 42015669 100456781 301370343 734920661 2204761983 13963492559 28038016297 41890477677 84114048891 532722309643 1598166928929 3897284265283 11691852795849 74048401040377 222145203121131