Search a number
-
+
100144993 = 137703461
BaseRepresentation
bin1011111100000…
…01011101100001
320222102220002211
411332001131201
5201114114433
613534242121
72324134624
oct576013541
9228386084
10100144993
1151590463
1229656341
13179947c0
14d42bdbb
158bd28cd
hex5f81761

100144993 has 4 divisors (see below), whose sum is σ = 107848468. Its totient is φ = 92441520.

The previous prime is 100144939. The next prime is 100144999. The reversal of 100144993 is 399441001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399441001 = 2729146369.

It can be written as a sum of positive squares in 2 ways, for example, as 62837329 + 37307664 = 7927^2 + 6108^2 .

It is a cyclic number.

It is not a de Polignac number, because 100144993 - 29 = 100144481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100144999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3851718 + ... + 3851743.

It is an arithmetic number, because the mean of its divisors is an integer number (26962117).

Almost surely, 2100144993 is an apocalyptic number.

100144993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100144993 is a deficient number, since it is larger than the sum of its proper divisors (7703475).

100144993 is an equidigital number, since it uses as much as digits as its factorization.

100144993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703474.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 100144993 is about 10007.2470240321. The cubic root of 100144993 is about 464.3831076562.

Adding to 100144993 its reverse (399441001), we get a palindrome (499585994).

The spelling of 100144993 in words is "one hundred million, one hundred forty-four thousand, nine hundred ninety-three".

Divisors: 1 13 7703461 100144993