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122011343331 = 3173192931487
BaseRepresentation
bin111000110100001110…
…0010101100111100011
3102122221011212102211220
41301220130111213203
53444334400441311
6132015022310123
711546361210063
oct1615034254743
9378834772756
10122011343331
114782124a139
121b791428343
13b675b03857
145c965153a3
153291859206
hex1c687159e3

122011343331 has 64 divisors (see below), whose sum is σ = 182688307200. Its totient is φ = 72230727168.

The previous prime is 122011343317. The next prime is 122011343357. The reversal of 122011343331 is 133343110221.

It is not a de Polignac number, because 122011343331 - 29 = 122011342819 is a prime.

It is a super-2 number, since 2×1220113433312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122011383331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82051270 + ... + 82052756.

It is an arithmetic number, because the mean of its divisors is an integer number (2854504800).

Almost surely, 2122011343331 is an apocalyptic number.

122011343331 is a deficient number, since it is larger than the sum of its proper divisors (60676963869).

122011343331 is a wasteful number, since it uses less digits than its factorization.

122011343331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1819 counting only the distinct ones).

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

Adding to 122011343331 its reverse (133343110221), we get a palindrome (255354453552).

The spelling of 122011343331 in words is "one hundred twenty-two billion, eleven million, three hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 17 19 51 57 289 293 323 867 879 969 1487 4461 4913 4981 5491 5567 14739 14943 16473 16701 25279 28253 75837 84677 84759 93347 94639 254031 280041 283917 429743 435691 480301 1289229 1307073 1439509 1440903 1608863 4318527 4826589 7305631 7406747 8165117 8278129 21916893 22220241 24495351 24834387 27350671 82052013 125914699 138806989 140728193 377744097 416420967 422184579 2140549883 2392379281 6421649649 7177137843 40670447777 122011343331