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13322100105 = 335671472869
BaseRepresentation
bin11000110100000111…
…10001110110001001
31021101102212210202000
430122003301312021
5204240424200410
610041534501213
7651063660666
oct143203616611
937342783660
1013322100105
115716a83a96
1226b9664809
131344039a92
14905452a6d
1552e878dc0
hex31a0f1d89

13322100105 has 32 divisors (see below), whose sum is σ = 24037238400. Its totient is φ = 6999068736.

The previous prime is 13322100101. The next prime is 13322100149. The reversal of 13322100105 is 50100122331.

It is not a de Polignac number, because 13322100105 - 22 = 13322100101 is a prime.

It is a super-2 number, since 2×133221001052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13322100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727390 + ... + 745479.

It is an arithmetic number, because the mean of its divisors is an integer number (751163700).

Almost surely, 213322100105 is an apocalyptic number.

13322100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13322100105 is a deficient number, since it is larger than the sum of its proper divisors (10715138295).

13322100105 is a wasteful number, since it uses less digits than its factorization.

13322100105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472950 (or 1472944 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13322100105 its reverse (50100122331), we get a palindrome (63422222436).

The spelling of 13322100105 in words is "thirteen billion, three hundred twenty-two million, one hundred thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 67 135 201 335 603 1005 1809 3015 9045 1472869 4418607 7364345 13255821 22093035 39767463 66279105 98682223 198837315 296046669 493411115 888140007 1480233345 2664420021 4440700035 13322100105