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113321200001 is a prime number
BaseRepresentation
bin110100110001001111…
…0000100100110000001
3101211111112211102021112
41221202132010212001
53324040211400001
6124020430333105
711121130210202
oct1514236044601
9354445742245
10113321200001
11440719548a9
1219b6705a195
13a8bc5c28c9
1456b031b5a9
152e33986cbb
hex1a62784981

113321200001 has 2 divisors, whose sum is σ = 113321200002. Its totient is φ = 113321200000.

The previous prime is 113321199989. The next prime is 113321200007. The reversal of 113321200001 is 100002123311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109775592976 + 3545607025 = 331324^2 + 59545^2 .

It is an emirp because it is prime and its reverse (100002123311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113321200001 is a prime.

It is a super-3 number, since 3×1133212000013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (113321200007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56660600000 + 56660600001.

It is an arithmetic number, because the mean of its divisors is an integer number (56660600001).

Almost surely, 2113321200001 is an apocalyptic number.

It is an amenable number.

113321200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

113321200001 is an equidigital number, since it uses as much as digits as its factorization.

113321200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113321200001 its reverse (100002123311), we get a palindrome (213323323312).

The spelling of 113321200001 in words is "one hundred thirteen billion, three hundred twenty-one million, two hundred thousand, one".