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121120000031 = 6119364715901
BaseRepresentation
bin111000011001101010…
…0001000100000011111
3102120122001122111201002
41300303110020200133
53441023210000111
6131350341540515
711515316004422
oct1606324104037
9376561574632
10121120000031
114740409a788
121b582a1473b
13b56324b494
145c0ddad9b9
15323d48c63b
hex1c3350881f

121120000031 has 16 divisors (see below), whose sum is σ = 123942477888. Its totient is φ = 118326528000.

The previous prime is 121119999989. The next prime is 121120000039. The reversal of 121120000031 is 130000021121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-121120000031 is a prime.

It is a super-2 number, since 2×1211200000312 (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 = 121119999967 and 121120000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120000039) 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, 7609181 + ... + 7625081.

It is an arithmetic number, because the mean of its divisors is an integer number (7746404868).

Almost surely, 2121120000031 is an apocalyptic number.

121120000031 is a deficient number, since it is larger than the sum of its proper divisors (2822477857).

121120000031 is a wasteful number, since it uses less digits than its factorization.

121120000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16802.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 121120000031 its reverse (130000021121), we get a palindrome (251120021152).

The spelling of 121120000031 in words is "one hundred twenty-one billion, one hundred twenty million, thirty-one", and thus it is an aban number.

Divisors: 1 61 193 647 11773 15901 39467 124871 969961 3068893 7617131 10287947 187202473 627564767 1985573771 121120000031