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100012232081 is a prime number
BaseRepresentation
bin101110100100100110…
…0011000110110010001
3100120011000122210111202
41131021030120312101
53114311112411311
6113540041120545
710140252642356
oct1351114306621
9316130583452
10100012232081
1139462330263
1217471a89155
13957b203268
144baa92662d
152905353e3b
hex1749318d91

100012232081 has 2 divisors, whose sum is σ = 100012232082. Its totient is φ = 100012232080.

The previous prime is 100012232039. The next prime is 100012232153. The reversal of 100012232081 is 180232210001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69021798400 + 30990433681 = 262720^2 + 176041^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012232081 - 234 = 82832362897 is a prime.

It is a super-2 number, since 2×1000122320812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100012222081) 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, 50006116040 + 50006116041.

It is an arithmetic number, because the mean of its divisors is an integer number (50006116041).

Almost surely, 2100012232081 is an apocalyptic number.

It is an amenable number.

100012232081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012232081 is an equidigital number, since it uses as much as digits as its factorization.

100012232081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100012232081 its reverse (180232210001), we get a palindrome (280244442082).

The spelling of 100012232081 in words is "one hundred billion, twelve million, two hundred thirty-two thousand, eighty-one".