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20121624001 is a prime number
BaseRepresentation
bin10010101111010101…
…111001110111000001
31220221022101102000101
4102233111321313001
5312202113432001
613124352122401
71311426660553
oct225725716701
956838342011
1020121624001
11859614aa26
123a96836401
131b8894cabb
14d8c5054d3
157cb792a01
hex4af579dc1

20121624001 has 2 divisors, whose sum is σ = 20121624002. Its totient is φ = 20121624000.

The previous prime is 20121623959. The next prime is 20121624013. The reversal of 20121624001 is 10042612102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19894820401 + 226803600 = 141049^2 + 15060^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121624001 - 211 = 20121621953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20121624001.

It is not a weakly prime, because it can be changed into another prime (20121624091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060812000 + 10060812001.

It is an arithmetic number, because the mean of its divisors is an integer number (10060812001).

Almost surely, 220121624001 is an apocalyptic number.

It is an amenable number.

20121624001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121624001 is an equidigital number, since it uses as much as digits as its factorization.

20121624001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 20121624001 in words is "twenty billion, one hundred twenty-one million, six hundred twenty-four thousand, one".