Search a number
-
+
101146488413 is a prime number
BaseRepresentation
bin101111000110011001…
…1001110111001011101
3100200002001221222200112
41132030303032321131
53124122000112123
6114244400135405
710210334652215
oct1361463167135
9320061858615
10101146488413
1139994612893
1217729907565
1396cc1b9359
144c77421245
15296ec04d78
hex178cccee5d

101146488413 has 2 divisors, whose sum is σ = 101146488414. Its totient is φ = 101146488412.

The previous prime is 101146488409. The next prime is 101146488539. The reversal of 101146488413 is 314884641101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69083288569 + 32063199844 = 262837^2 + 179062^2 .

It is a cyclic number.

It is not a de Polignac number, because 101146488413 - 22 = 101146488409 is a prime.

It is a super-2 number, since 2×1011464884132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101146488403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50573244206 + 50573244207.

It is an arithmetic number, because the mean of its divisors is an integer number (50573244207).

Almost surely, 2101146488413 is an apocalyptic number.

It is an amenable number.

101146488413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101146488413 is an equidigital number, since it uses as much as digits as its factorization.

101146488413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 101146488413 in words is "one hundred one billion, one hundred forty-six million, four hundred eighty-eight thousand, four hundred thirteen".