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122034111331 = 1112978553593
BaseRepresentation
bin111000110100111001…
…1001100001101100011
3102122222202201011200011
41301221303030031203
53444411213030311
6132021154305351
711550055555066
oct1615163141543
9378882634604
10122034111331
1147833090070
121b798b88257
13b67a745b42
145c995608dd
153293855321
hex1c69ccc363

122034111331 has 8 divisors (see below), whose sum is σ = 133230780144. Its totient is φ = 110854552320.

The previous prime is 122034111313. The next prime is 122034111343. The reversal of 122034111331 is 133111430221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122034111331 - 27 = 122034111203 is a prime.

It is a super-2 number, since 2×1220341113312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122034111301) 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 7 ways as a sum of consecutive naturals, for example, 4262530 + ... + 4291063.

It is an arithmetic number, because the mean of its divisors is an integer number (16653847518).

Almost surely, 2122034111331 is an apocalyptic number.

122034111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122034111331 is a deficient number, since it is larger than the sum of its proper divisors (11196668813).

122034111331 is a wasteful number, since it uses less digits than its factorization.

122034111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554901.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122034111331 its reverse (133111430221), we get a palindrome (255145541552).

The spelling of 122034111331 in words is "one hundred twenty-two billion, thirty-four million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 1297 14267 8553593 94089523 11094010121 122034111331