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13220201310 = 2351823324169
BaseRepresentation
bin11000100111111110…
…00100001101011110
31021010100010210212120
430103333010031132
5204033332420220
610023454443410
7645415566651
oct142377041536
937110123776
1013220201310
115674505a08
12268b503566
131328bacc34
148d5ac9898
1552594ba40
hex313fc435e

13220201310 has 32 divisors (see below), whose sum is σ = 31731536160. Its totient is φ = 3525047808.

The previous prime is 13220201237. The next prime is 13220201329. The reversal of 13220201310 is 1310202231.

It is a super-2 number, since 2×132202013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13220201310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534906 + ... + 559074.

It is an arithmetic number, because the mean of its divisors is an integer number (991610505).

Almost surely, 213220201310 is an apocalyptic number.

13220201310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13220201310 is an abundant number, since it is smaller than the sum of its proper divisors (18511334850).

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

13220201310 is a wasteful number, since it uses less digits than its factorization.

13220201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42412.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220201310 its reverse (1310202231), we get a palindrome (14530403541).

The spelling of 13220201310 in words is "thirteen billion, two hundred twenty million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 18233 24169 36466 48338 54699 72507 91165 109398 120845 145014 182330 241690 273495 362535 546990 725070 440673377 881346754 1322020131 2203366885 2644040262 4406733770 6610100655 13220201310