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131142422220222 = 23726125667284899
BaseRepresentation
bin11101110100010111111001…
…011111011100110110111110
3122012100002111212222010111010
4131310113321133130312332
5114142114140042021342
61142525555210540050
736423504322310400
oct3564277137346676
9565302455863433
10131142422220222
1138871209516156
1212860343a37626
1358238a61ab4ca
1424554817d8b70
1510264ae4e629c
hex7745f97dcdbe

131142422220222 has 96 divisors (see below), whose sum is σ = 310121782185600. Its totient is φ = 36853448022720.

The previous prime is 131142422220221. The next prime is 131142422220223. The reversal of 131142422220222 is 222022224241131.

It is an interprime number because it is at equal distance from previous prime (131142422220221) and next prime (131142422220223).

It is a super-3 number, since 3×1311424222202223 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131142422220222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142422220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460169529 + ... + 460454427.

It is an arithmetic number, because the mean of its divisors is an integer number (3230435231100).

Almost surely, 2131142422220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131142422220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155060891092800).

131142422220222 is an abundant number, since it is smaller than the sum of its proper divisors (178979359965378).

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

131142422220222 is a wasteful number, since it uses less digits than its factorization.

131142422220222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310646 (or 310639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131142422220222 its reverse (222022224241131), we get a palindrome (353164646461353).

The spelling of 131142422220222 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 5978 8967 17934 25667 51334 77001 154002 179669 284899 359338 539007 569798 854697 1078014 1257683 1565687 1709394 1994293 2515366 3131374 3773049 3988586 4697061 5982879 7546098 9394122 10959809 11965758 13960051 17378839 21919618 27920102 32879427 34757678 41880153 52136517 65758854 76718663 83760306 104273034 121651873 153437326 230155989 243303746 364955619 460311978 729911238 851563111 1703126222 2554689333 5109378666 7312502633 14625005266 21937507899 43875015798 51187518431 102375036862 153562555293 307125110586 358312629017 446062660613 716625258034 892125321226 1074937887051 1338187981839 2149875774102 2676375963678 3122438624291 6244877248582 9367315872873 18734631745746 21857070370037 43714140740074 65571211110111 131142422220222