Search a number
-
+
122111130031 = 11163199342233
BaseRepresentation
bin111000110111001100…
…0111111100110101111
3102200012010122010110121
41301232120333212233
54000040422130111
6132032545145411
711552012323312
oct1615630774657
9380163563417
10122111130031
1147872605390
121b7ba92b267
13b6906a1237
145ca588c979
15329a4ba871
hex1c6e63f9af

122111130031 has 16 divisors (see below), whose sum is σ = 134703302400. Its totient is φ = 109774336320.

The previous prime is 122111129981. The next prime is 122111130059. The reversal of 122111130031 is 130031111221.

It is a happy number.

It is not a de Polignac number, because 122111130031 - 29 = 122111129519 is a prime.

It is a super-2 number, since 2×1221111300312 (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 = 122111129987 and 122111130014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111130331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185691 + ... + 527923.

It is an arithmetic number, because the mean of its divisors is an integer number (8418956400).

Almost surely, 2122111130031 is an apocalyptic number.

122111130031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122111130031 is a deficient number, since it is larger than the sum of its proper divisors (12592172369).

122111130031 is a wasteful number, since it uses less digits than its factorization.

122111130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342606.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 122111130031 its reverse (130031111221), we get a palindrome (252142241252).

The spelling of 122111130031 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thirty thousand, thirty-one".

Divisors: 1 11 163 199 1793 2189 32437 342233 356807 3764563 55783979 68104367 613623769 749148037 11101011821 122111130031