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103412041120233 = 3219505358908229
BaseRepresentation
bin10111100000110101111101…
…111110011111100111101001
3111120011002112221122110102200
4113200311331332133213221
5102023300330011321413
61003534500313250413
730532162532136216
oct2740657576374751
9446132487573380
10103412041120233
112aa4a8892a208a
12b721b43403a09
134591937b153a1
141b77253150b0d
15be4eb7aa1573
hex5e0d7df9f9e9

103412041120233 has 12 divisors (see below), whose sum is σ = 149373716627460. Its totient is φ = 68941006127136.

The previous prime is 103412041120189. The next prime is 103412041120253. The reversal of 103412041120233 is 332021140214301.

103412041120233 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 12 + 0 + 411 + 2 + 0 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46069178855184 + 57342862265049 = 6787428^2 + 7572507^2 .

It is not a de Polignac number, because 103412041120233 - 217 = 103412040989161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103412041120197 and 103412041120206.

It is not an unprimeable number, because it can be changed into a prime (103412041120253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27698638 + ... + 31209591.

It is an arithmetic number, because the mean of its divisors is an integer number (12447809718955).

Almost surely, 2103412041120233 is an apocalyptic number.

It is an amenable number.

103412041120233 is a deficient number, since it is larger than the sum of its proper divisors (45961675507227).

103412041120233 is a wasteful number, since it uses less digits than its factorization.

103412041120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59103288 (or 59103285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103412041120233 its reverse (332021140214301), we get a palindrome (435433181334534).

The spelling of 103412041120233 in words is "one hundred three trillion, four hundred twelve billion, forty-one million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 195053 585159 1755477 58908229 176724687 530174061 11490226791137 34470680373411 103412041120233