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103312101033 = 3211479122337
BaseRepresentation
bin110000000110111100…
…0011000111010101001
3100212122222221111201100
41200031320120322221
53143040344213113
6115243320512013
710315112240511
oct1401570307251
9325588844640
10103312101033
113a8a5a95689
121803301b609
139985a6aa3b
145000caa841
152a49dccd73
hex180de18ea9

103312101033 has 6 divisors (see below), whose sum is σ = 149228590394. Its totient is φ = 68874734016.

The previous prime is 103312101031. The next prime is 103312101037. The reversal of 103312101033 is 330101213301.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70648045209 + 32664055824 = 265797^2 + 180732^2 .

It is not a de Polignac number, because 103312101033 - 21 = 103312101031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103312100997 and 103312101015.

It is not an unprimeable number, because it can be changed into a prime (103312101031) 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 5 ways as a sum of consecutive naturals, for example, 5739561160 + ... + 5739561177.

Almost surely, 2103312101033 is an apocalyptic number.

It is an amenable number.

103312101033 is a deficient number, since it is larger than the sum of its proper divisors (45916489361).

103312101033 is a wasteful number, since it uses less digits than its factorization.

103312101033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479122343 (or 11479122340 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103312101033 its reverse (330101213301), we get a palindrome (433413314334).

The spelling of 103312101033 in words is "one hundred three billion, three hundred twelve million, one hundred one thousand, thirty-three".

Divisors: 1 3 9 11479122337 34437367011 103312101033