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103131111121 = 1376611138853
BaseRepresentation
bin110000000001100010…
…1111101111011010001
3100212012101101021020021
41200003011331323101
53142203031023441
6115213333343441
710310453660233
oct1400305757321
9325171337207
10103131111121
113a812907245
1217ba2497b81
13995740b40c
144dc4c36253
152a3907b3d1
hex180317ded1

103131111121 has 8 divisors (see below), whose sum is σ = 104041146024. Its totient is φ = 102223355520.

The previous prime is 103131111077. The next prime is 103131111163. The reversal of 103131111121 is 121111131301.

It can be written as a sum of positive squares in 4 ways, for example, as 4808729025 + 98322382096 = 69345^2 + 313564^2 .

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 103131111121 - 221 = 103129013969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103131111095 and 103131111104.

It is not an unprimeable number, because it can be changed into a prime (103131111191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478870 + ... + 659983.

It is an arithmetic number, because the mean of its divisors is an integer number (13005143253).

Almost surely, 2103131111121 is an apocalyptic number.

It is an amenable number.

103131111121 is a deficient number, since it is larger than the sum of its proper divisors (910034903).

103131111121 is a wasteful number, since it uses less digits than its factorization.

103131111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139651.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 103131111121 its reverse (121111131301), we get a palindrome (224242242422).

The spelling of 103131111121 in words is "one hundred three billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 137 661 90557 1138853 156022861 752781833 103131111121