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10201031221937 is a prime number
BaseRepresentation
bin1001010001110001110011…
…0101111010001010110001
31100010012122101221102212212
42110130130311322022301
52314113202443100222
633410142233501505
72102000030500253
oct224343465721261
940105571842785
1010201031221937
113283262203556
121189040871895
1358cc50cc6a9a
14273a38167cd3
1512a543bb46e2
hex9471cd7a2b1

10201031221937 has 2 divisors, whose sum is σ = 10201031221938. Its totient is φ = 10201031221936.

The previous prime is 10201031221907. The next prime is 10201031221951. The reversal of 10201031221937 is 73912213010201.

10201031221937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7104149260321 + 3096881961616 = 2665361^2 + 1759796^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201031221937 - 28 = 10201031221681 is a prime.

It is a super-2 number, since 2×102010312219372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10201031221907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100515610968 + 5100515610969.

It is an arithmetic number, because the mean of its divisors is an integer number (5100515610969).

Almost surely, 210201031221937 is an apocalyptic number.

It is an amenable number.

10201031221937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201031221937 is an equidigital number, since it uses as much as digits as its factorization.

10201031221937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 10201031221937 in words is "ten trillion, two hundred one billion, thirty-one million, two hundred twenty-one thousand, nine hundred thirty-seven".