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122110121110013 = 1794720173760511
BaseRepresentation
bin11011110000111011111010…
…011001000110100111111101
3121000100121120021220212222122
4123300323322121012213331
5112001123012001010023
61111412340515252325
734502110430526131
oct3360737231064775
9530317507825878
10122110121110013
11359a967aa64923
12118419145aa0a5
135319c202b316a
142222238c2b3c1
15e1b5701a02c8
hex6f0efa6469fd

122110121110013 has 16 divisors (see below), whose sum is σ = 129493802317824. Its totient is φ = 114748863989760.

The previous prime is 122110121110007. The next prime is 122110121110057. The reversal of 122110121110013 is 310011121011221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122110121110013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122110121109973 and 122110121110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110121110073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30591428 + ... + 34351938.

It is an arithmetic number, because the mean of its divisors is an integer number (8093362644864).

Almost surely, 2122110121110013 is an apocalyptic number.

It is an amenable number.

122110121110013 is a deficient number, since it is larger than the sum of its proper divisors (7383681207811).

122110121110013 is a wasteful number, since it uses less digits than its factorization.

122110121110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763492.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 122110121110013 its reverse (310011121011221), we get a palindrome (432121242121234).

The spelling of 122110121110013 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty-one million, one hundred ten thousand, thirteen".

Divisors: 1 17 947 2017 16099 34289 1910099 3760511 32471683 63928687 3561203917 7584950687 60540466589 128944161679 7182948300589 122110121110013