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103123111221 = 3213881394113
BaseRepresentation
bin110000000001010011…
…1011100110100110101
3100212011211022211102200
41200002213130310311
53142144004024341
6115212450055113
710310325661014
oct1400247346465
9325154284380
10103123111221
113a809342859
1217b9b87a499
13995586a050
144dc3b52a7b
152a384eadb6
hex18029dcd35

103123111221 has 12 divisors (see below), whose sum is σ = 160413728748. Its totient is φ = 63460376064.

The previous prime is 103123111199. The next prime is 103123111253. The reversal of 103123111221 is 122111321301.

103123111221 is a `hidden beast` number, since 10 + 312 + 311 + 12 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14580562500 + 88542548721 = 120750^2 + 297561^2 .

It is not a de Polignac number, because 103123111221 - 215 = 103123078453 is a prime.

It is a super-2 number, since 2×1031231112212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103123111194 and 103123111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103123111621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440696940 + ... + 440697173.

It is an arithmetic number, because the mean of its divisors is an integer number (13367810729).

Almost surely, 2103123111221 is an apocalyptic number.

It is an amenable number.

103123111221 is a deficient number, since it is larger than the sum of its proper divisors (57290617527).

103123111221 is a wasteful number, since it uses less digits than its factorization.

103123111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881394132 (or 881394129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103123111221 its reverse (122111321301), we get a palindrome (225234432522).

The spelling of 103123111221 in words is "one hundred three billion, one hundred twenty-three million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 881394113 2644182339 7932547017 11458123469 34374370407 103123111221