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101947381201 is a prime number
BaseRepresentation
bin101111011110010001…
…0011001010111010001
3100202010212222120001101
41132330202121113101
53132242012144301
6114500050104401
710236231304501
oct1367442312721
9322125876041
10101947381201
113a265703456
1217911b7b101
1397c90c2703
144d1193da01
1529ba1a6701
hex17bc8995d1

101947381201 has 2 divisors, whose sum is σ = 101947381202. Its totient is φ = 101947381200.

The previous prime is 101947381181. The next prime is 101947381219. The reversal of 101947381201 is 102183749101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82111475601 + 19835905600 = 286551^2 + 140840^2 .

It is a cyclic number.

It is not a de Polignac number, because 101947381201 - 211 = 101947379153 is a prime.

It is not a weakly prime, because it can be changed into another prime (101947385201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50973690600 + 50973690601.

It is an arithmetic number, because the mean of its divisors is an integer number (50973690601).

Almost surely, 2101947381201 is an apocalyptic number.

It is an amenable number.

101947381201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101947381201 is an equidigital number, since it uses as much as digits as its factorization.

101947381201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 101947381201 in words is "one hundred one billion, nine hundred forty-seven million, three hundred eighty-one thousand, two hundred one".