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100022013001 is a prime number
BaseRepresentation
bin101110100100111000…
…1101100110001001001
3100120011201001201102001
41131021301230301021
53114321113404001
6113541030511001
710140432040231
oct1351161546111
9316151051361
10100022013001
1139467900869
1217475205461
1395802491a1
144babd50cc1
152906137001
hex1749c6cc49

100022013001 has 2 divisors, whose sum is σ = 100022013002. Its totient is φ = 100022013000.

The previous prime is 100022012989. The next prime is 100022013017. The reversal of 100022013001 is 100310220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50738013001 + 49284000000 = 225251^2 + 222000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022013001 - 25 = 100022012969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100022013041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011006500 + 50011006501.

It is an arithmetic number, because the mean of its divisors is an integer number (50011006501).

Almost surely, 2100022013001 is an apocalyptic number.

It is an amenable number.

100022013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022013001 is an equidigital number, since it uses as much as digits as its factorization.

100022013001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100022013001 its reverse (100310220001), we get a palindrome (200332233002).

The spelling of 100022013001 in words is "one hundred billion, twenty-two million, thirteen thousand, one".