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13105330220201 = 137157609295189
BaseRepresentation
bin1011111010110101001010…
…0011010110110010101001
31201101212010222220010001012
42332231102203112302221
53204204204014021301
643512301112433305
72521554204610442
oct276552243266251
951355128803035
1013105330220201
1141a2a3728815a
121577a986a8835
13740a9a8757bb
14334430d462c9
1517ad76805ebb
hexbeb528d6ca9

13105330220201 has 8 divisors (see below), whose sum is σ = 13285072322760. Its totient is φ = 12926806708608.

The previous prime is 13105330220179. The next prime is 13105330220249. The reversal of 13105330220201 is 10202203350131.

It can be written as a sum of positive squares in 4 ways, for example, as 652540840000 + 12452789380201 = 807800^2 + 3528851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13105330220201 - 238 = 12830452313257 is a prime.

It is a super-2 number, since 2×131053302202012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13105350220201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304626086 + ... + 304669103.

It is an arithmetic number, because the mean of its divisors is an integer number (1660634040345).

Almost surely, 213105330220201 is an apocalyptic number.

It is an amenable number.

13105330220201 is a deficient number, since it is larger than the sum of its proper divisors (179742102559).

13105330220201 is a wasteful number, since it uses less digits than its factorization.

13105330220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609295483.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13105330220201 its reverse (10202203350131), we get a palindrome (23307533570332).

The spelling of 13105330220201 in words is "thirteen trillion, one hundred five billion, three hundred thirty million, two hundred twenty thousand, two hundred one".

Divisors: 1 137 157 21509 609295189 83473440893 95659344673 13105330220201