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103313203221233 = 373378285604557
BaseRepresentation
bin10111011111011001111010…
…110001110101001011110001
3111112210122102202200222001202
4113133121322301311023301
5102020140420011034413
61003421232542140545
730522063325641245
oct2737317261651361
9445718382628052
10103313203221233
112aa11979937735
12b70695a881755
134585515cba995
141b72558596425
15be26308b7e58
hex5df67ac752f1

103313203221233 has 8 divisors (see below), whose sum is σ = 106420304942952. Its totient is φ = 100222672709376.

The previous prime is 103313203221211. The next prime is 103313203221251. The reversal of 103313203221233 is 332122302313301.

It can be written as a sum of positive squares in 4 ways, for example, as 18968394193984 + 84344809027249 = 4355272^2 + 9183943^2 .

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 103313203221233 - 26 = 103313203221169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103313203221196 and 103313203221205.

It is not an unprimeable number, because it can be changed into a prime (103313203224233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4142789810 + ... + 4142814747.

It is an arithmetic number, because the mean of its divisors is an integer number (13302538117869).

Almost surely, 2103313203221233 is an apocalyptic number.

It is an amenable number.

103313203221233 is a deficient number, since it is larger than the sum of its proper divisors (3107101721719).

103313203221233 is an equidigital number, since it uses as much as digits as its factorization.

103313203221233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285604931.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 103313203221233 its reverse (332122302313301), we get a palindrome (435435505534534).

The spelling of 103313203221233 in words is "one hundred three trillion, three hundred thirteen billion, two hundred three million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 37 337 12469 8285604557 306567368609 2792248735709 103313203221233