Search a number
-
+
101163413 = 1317653701
BaseRepresentation
bin1100000011110…
…10000110010101
321001100122010002
412001322012111
5201344212123
614012141045
72335606031
oct601720625
9231318102
10101163413
115211662a
1229a67785
1317c60210
14d6151c1
158d34528
hex607a195

101163413 has 16 divisors (see below), whose sum is σ = 115695216. Its totient is φ = 87628800.

The previous prime is 101163409. The next prime is 101163451. The reversal of 101163413 is 314361101.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 101143249 = 142^2 + 10057^2 .

It is a cyclic number.

It is not a de Polignac number, because 101163413 - 22 = 101163409 is a prime.

It is a super-2 number, since 2×1011634132 = 20468072259617138, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101163463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143963 + ... + 144663.

It is an arithmetic number, because the mean of its divisors is an integer number (7230951).

Almost surely, 2101163413 is an apocalyptic number.

101163413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101163413 is a deficient number, since it is larger than the sum of its proper divisors (14531803).

101163413 is a wasteful number, since it uses less digits than its factorization.

101163413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101163413 is about 10058.0024358716. The cubic root of 101163413 is about 465.9519758083.

The spelling of 101163413 in words is "one hundred one million, one hundred sixty-three thousand, four hundred thirteen".

Divisors: 1 13 17 221 653 701 8489 9113 11101 11917 144313 154921 457753 5950789 7781801 101163413