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100210221973 is a prime number
BaseRepresentation
bin101110101010011111…
…1101010001110010101
3100120122211012201120201
41131110333222032111
53120212304100343
6114011432500501
710145205555361
oct1352477521625
9316584181521
10100210221973
113955406aa74
121750824a731
1395b0235644
144bc8d442a1
15291791294d
hex1754fea395

100210221973 has 2 divisors, whose sum is σ = 100210221974. Its totient is φ = 100210221972.

The previous prime is 100210221953. The next prime is 100210221983. The reversal of 100210221973 is 379122012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51014094769 + 49196127204 = 225863^2 + 221802^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100210221973 is a prime.

It is a super-3 number, since 3×1002102219733 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210221913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105110986 + 50105110987.

It is an arithmetic number, because the mean of its divisors is an integer number (50105110987).

Almost surely, 2100210221973 is an apocalyptic number.

It is an amenable number.

100210221973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210221973 is an equidigital number, since it uses as much as digits as its factorization.

100210221973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 100210221973 its reverse (379122012001), we get a palindrome (479332233974).

The spelling of 100210221973 in words is "one hundred billion, two hundred ten million, two hundred twenty-one thousand, nine hundred seventy-three".