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100012211461 is a prime number
BaseRepresentation
bin101110100100100110…
…0010011110100000101
3100120011000121202020001
41131021030103310011
53114311111231321
6113540040441301
710140252525301
oct1351114236405
9316130552201
10100012211461
1139462316818
1217471a79231
13957b1c6a66
144baa91cd01
15290534cc91
hex1749313d05

100012211461 has 2 divisors, whose sum is σ = 100012211462. Its totient is φ = 100012211460.

The previous prime is 100012211413. The next prime is 100012211479. The reversal of 100012211461 is 164112210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89991000225 + 10021211236 = 299985^2 + 100106^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100012211461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100012211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006105730 + 50006105731.

It is an arithmetic number, because the mean of its divisors is an integer number (50006105731).

Almost surely, 2100012211461 is an apocalyptic number.

It is an amenable number.

100012211461 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012211461 is an equidigital number, since it uses as much as digits as its factorization.

100012211461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100012211461 its reverse (164112210001), we get a palindrome (264124421462).

The spelling of 100012211461 in words is "one hundred billion, twelve million, two hundred eleven thousand, four hundred sixty-one".