Search a number
-
+
122202131030331 = 311172063864712211
BaseRepresentation
bin11011110010010001100110…
…100111000110000100111011
3121000200102001121211010110020
4123302101212213012010323
5112004124431020432311
61111522514535221523
734511545504122522
oct3362214647060473
9530612047733406
10122202131030331
1135a346a6188890
12118577125178a3
1353257c4643cb1
142226886a474b9
15e1db57bedc06
hex6f24669c613b

122202131030331 has 64 divisors (see below), whose sum is σ = 188332777783296. Its totient is φ = 69657764774400.

The previous prime is 122202131030303. The next prime is 122202131030341. The reversal of 122202131030331 is 133030131202221.

It is not a de Polignac number, because 122202131030331 - 229 = 122201594159419 is a prime.

It is a super-2 number, since 2×1222021310303312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122202131030341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10007538816 + ... + 10007551026.

It is an arithmetic number, because the mean of its divisors is an integer number (2942699652864).

Almost surely, 2122202131030331 is an apocalyptic number.

122202131030331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122202131030331 is a deficient number, since it is larger than the sum of its proper divisors (66130646752965).

122202131030331 is a wasteful number, since it uses less digits than its factorization.

122202131030331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22952.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122202131030331 its reverse (133030131202221), we get a palindrome (255232262232552).

The spelling of 122202131030331 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred thirty-one million, thirty thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 2063 6189 8647 12211 22693 25941 35071 36633 68079 95117 105213 134321 146999 207587 285351 385781 402963 440997 622761 1157343 1616989 2283457 4850967 6850371 17838761 25191293 53516283 75573879 105588517 196226371 277104223 303258937 316765551 428251981 588679113 831312669 909776811 1161473687 1284755943 1795004789 3335848307 3484421061 4710771791 5385014367 10007544921 14132315373 19745052679 59235158037 217829110571 653487331713 2396120216281 3703094879707 7188360648843 11109284639121 40734043676777 122202131030331