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1320103422 = 2321116340903
BaseRepresentation
bin100111010101111…
…0010110111111110
310102000000012110100
41032223302313332
510200421302142
6334554221530
744466460011
oct11653626776
93360005410
101320103422
11618189270
1230a1248a6
131806564b1
14c7475378
157ad61b4c
hex4eaf2dfe

1320103422 has 48 divisors (see below), whose sum is σ = 3139463808. Its totient is φ = 397567440.

The previous prime is 1320103399. The next prime is 1320103439. The reversal of 1320103422 is 2243010231.

1320103422 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 342 + 2 = 666.

It is a super-2 number, since 2×13201034222 = 3485346089552220168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320103395 and 1320103404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11823 + ... + 52725.

It is an arithmetic number, because the mean of its divisors is an integer number (65405496).

Almost surely, 21320103422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320103422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569731904).

1320103422 is an abundant number, since it is smaller than the sum of its proper divisors (1819360386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320103422 is a wasteful number, since it uses less digits than its factorization.

1320103422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41085 (or 41082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320103422 is about 36333.2275197236. The cubic root of 1320103422 is about 1096.9899587112.

Adding to 1320103422 its reverse (2243010231), we get a palindrome (3563113653).

The spelling of 1320103422 in words is "one billion, three hundred twenty million, one hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 978 1467 1793 2934 3586 5379 10758 16137 32274 40903 81806 122709 245418 368127 449933 736254 899866 1349799 2699598 4049397 6667189 8098794 13334378 20001567 40003134 60004701 73339079 120009402 146678158 220017237 440034474 660051711 1320103422