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122311013331 = 31337543115607
BaseRepresentation
bin111000111101001001…
…1011111001111010011
3102200201001202020210210
41301322103133033103
54000443104411311
6132104445255203
711556660313413
oct1617223371723
9380631666723
10122311013331
11479654186a1
121b855864503
13b6c2c17390
145cc4240643
1532acd003a6
hex1c7a4df3d3

122311013331 has 32 divisors (see below), whose sum is σ = 180417491968. Its totient is φ = 73215861120.

The previous prime is 122311013323. The next prime is 122311013333. The reversal of 122311013331 is 133310113221.

It is a happy number.

It is not a de Polignac number, because 122311013331 - 23 = 122311013323 is a prime.

It is a super-2 number, since 2×1223110133312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122311013298 and 122311013307.

It is not an unprimeable number, because it can be changed into a prime (122311013333) 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 31 ways as a sum of consecutive naturals, for example, 7829130 + ... + 7844736.

It is an arithmetic number, because the mean of its divisors is an integer number (5638046624).

Almost surely, 2122311013331 is an apocalyptic number.

122311013331 is a deficient number, since it is larger than the sum of its proper divisors (58106478637).

122311013331 is a wasteful number, since it uses less digits than its factorization.

122311013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 122311013331 its reverse (133310113221), we get a palindrome (255621126552).

The spelling of 122311013331 in words is "one hundred twenty-two billion, three hundred eleven million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 13 37 39 111 481 1443 5431 15607 16293 46821 70603 200947 202891 211809 577459 602841 608673 1732377 2612311 7506967 7836933 22520901 84761617 254284851 1101901021 3136179829 3305703063 9408539487 40770337777 122311013331