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13310120322 = 23219333711369
BaseRepresentation
bin11000110010101100…
…00101000110000010
31021100121100011120100
430121112011012002
5204224342322242
610040430023230
7650560104342
oct143126050602
937317304510
1013310120322
115710241444
1226b5647b16
131341704055
14903a14d22
1552d7ae54c
hex319585182

13310120322 has 48 divisors (see below), whose sum is σ = 29076591960. Its totient is φ = 4400234496.

The previous prime is 13310120251. The next prime is 13310120333. The reversal of 13310120322 is 22302101331.

13310120322 is a `hidden beast` number, since 1 + 331 + 0 + 12 + 0 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8948970801 + 4361149521 = 94599^2 + 66039^2 .

It is a super-2 number, since 2×133101203222 (a number of 21 digits) 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 = 13310120295 and 13310120304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165054 + ... + 1176422.

Almost surely, 213310120322 is an apocalyptic number.

13310120322 is an abundant number, since it is smaller than the sum of its proper divisors (15766471638).

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

13310120322 is a wasteful number, since it uses less digits than its factorization.

13310120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13310120322 its reverse (22302101331), we get a palindrome (35612221653).

The spelling of 13310120322 in words is "thirteen billion, three hundred ten million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 193 337 386 579 674 1011 1158 1737 2022 3033 3474 6066 11369 22738 34107 65041 68214 102321 130082 195123 204642 390246 585369 1170738 2194217 3831353 4388434 6582651 7662706 11494059 13165302 19747953 22988118 34482177 39495906 68964354 739451129 1478902258 2218353387 4436706774 6655060161 13310120322