Search a number
-
+
10200658337 is a prime number
BaseRepresentation
bin10011000000000000…
…11011000110100001
3222022220100010121122
421200000123012201
5131342332031322
64404111302025
7510532110452
oct114000330641
928286303548
1010200658337
114365007651
121b8821a915
13c6744530c
146caa77129
153ea7e7442
hex26001b1a1

10200658337 has 2 divisors, whose sum is σ = 10200658338. Its totient is φ = 10200658336.

The previous prime is 10200658333. The next prime is 10200658343. The reversal of 10200658337 is 73385600201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10175967376 + 24690961 = 100876^2 + 4969^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200658337 - 22 = 10200658333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200658297 and 10200658306.

It is not a weakly prime, because it can be changed into another prime (10200658333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100329168 + 5100329169.

It is an arithmetic number, because the mean of its divisors is an integer number (5100329169).

Almost surely, 210200658337 is an apocalyptic number.

It is an amenable number.

10200658337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200658337 is an equidigital number, since it uses as much as digits as its factorization.

10200658337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10200658337 in words is "ten billion, two hundred million, six hundred fifty-eight thousand, three hundred thirty-seven".