Search a number
-
+
6309612573101 is a prime number
BaseRepresentation
bin101101111010001001000…
…1101110101000110101101
3211100012012202012212222022
41123310102031311012231
51311334041304314401
621230332422555525
71220566036651145
oct133642215650655
924305182185868
106309612573101
112012989896142
1285aa18598ba5
13369cbc81a386
1417b55b843925
15ae1da4c671b
hex5bd123751ad

6309612573101 has 2 divisors, whose sum is σ = 6309612573102. Its totient is φ = 6309612573100.

The previous prime is 6309612573083. The next prime is 6309612573133. The reversal of 6309612573101 is 1013752169036.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3982459272100 + 2327153301001 = 1995610^2 + 1525501^2 .

It is a cyclic number.

It is not a de Polignac number, because 6309612573101 - 214 = 6309612556717 is a prime.

It is a super-2 number, since 2×63096125731012 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6309611573101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3154806286550 + 3154806286551.

It is an arithmetic number, because the mean of its divisors is an integer number (3154806286551).

Almost surely, 26309612573101 is an apocalyptic number.

It is an amenable number.

6309612573101 is a deficient number, since it is larger than the sum of its proper divisors (1).

6309612573101 is an equidigital number, since it uses as much as digits as its factorization.

6309612573101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The spelling of 6309612573101 in words is "six trillion, three hundred nine billion, six hundred twelve million, five hundred seventy-three thousand, one hundred one".