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122201223131 = 1317557992723
BaseRepresentation
bin111000111001111000…
…0101010111111011011
3102200102102011022222002
41301303300222333123
54000232003120011
6132045524151215
711554155154361
oct1616360527733
9380372138862
10122201223131
114790944a699
121b824b3850b
13b6a6256670
145cb3821631
1532a3364c3b
hex1c73c2afdb

122201223131 has 16 divisors (see below), whose sum is σ = 139592877984. Its totient is φ = 105975058944.

The previous prime is 122201223121. The next prime is 122201223143. The reversal of 122201223131 is 131322102221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122201223131 is a prime.

It is a super-2 number, since 2×1222012231312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122201223101) 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 15 ways as a sum of consecutive naturals, for example, 373265 + ... + 619458.

It is an arithmetic number, because the mean of its divisors is an integer number (8724554874).

Almost surely, 2122201223131 is an apocalyptic number.

122201223131 is a deficient number, since it is larger than the sum of its proper divisors (17391654853).

122201223131 is a wasteful number, since it uses less digits than its factorization.

122201223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993310.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122201223131 its reverse (131322102221), we get a palindrome (253523325352).

The spelling of 122201223131 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 13 17 221 557 7241 9469 123097 992723 12905399 16876291 219391783 552946711 7188307243 9400094087 122201223131