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122113111001101 = 1169931915874289
BaseRepresentation
bin11011110000111110101100…
…100110101000100000001101
3121000100220021122221002111121
4123300332230212220200031
5112001200122404013401
61111413553323120541
734502244504266563
oct3360765446504015
9530326248832447
10122113111001101
11359aa9747502a0
1211842409973151
13531a2a886839c
14222243dd61a33
15e1b6978e8ca1
hex6f0fac9a880d

122113111001101 has 8 divisors (see below), whose sum is σ = 133214501793600. Its totient is φ = 111011753355840.

The previous prime is 122113111001051. The next prime is 122113111001107. The reversal of 122113111001101 is 101100111311221.

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 122113111001101 - 29 = 122113111000589 is a prime.

It is a super-2 number, since 2×1221131110011012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113111001107) 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 7 ways as a sum of consecutive naturals, for example, 244636 + ... + 15629653.

It is an arithmetic number, because the mean of its divisors is an integer number (16651812724200).

Almost surely, 2122113111001101 is an apocalyptic number.

122113111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122113111001101 is a deficient number, since it is larger than the sum of its proper divisors (11101390792499).

122113111001101 is a wasteful number, since it uses less digits than its factorization.

122113111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16573619.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 122113111001101 its reverse (101100111311221), we get a palindrome (223213222312322).

The spelling of 122113111001101 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred eleven million, one thousand, one hundred one".

Divisors: 1 11 699319 7692509 15874289 174617179 11101191909191 122113111001101