Search a number
-
+
100413212301 = 3313128389373
BaseRepresentation
bin101110110000100011…
…0000000011010001101
3100121011222011200222000
41131201012000122031
53121121240243201
6114043523342513
710153222136043
oct1354106003215
9317158150860
10100413212301
1139648705676
1217564221a39
1396132c8a6c
144c07ca4393
15292a65cd86
hex176118068d

100413212301 has 16 divisors (see below), whose sum is σ = 149895894720. Its totient is φ = 66431130480.

The previous prime is 100413212293. The next prime is 100413212323. The reversal of 100413212301 is 103212314001.

100413212301 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 321 + 2 + 301 = 666.

It is not a de Polignac number, because 100413212301 - 23 = 100413212293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413212351) 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, 14191150 + ... + 14198223.

It is an arithmetic number, because the mean of its divisors is an integer number (9368493420).

Almost surely, 2100413212301 is an apocalyptic number.

It is an amenable number.

100413212301 is a deficient number, since it is larger than the sum of its proper divisors (49482682419).

100413212301 is a wasteful number, since it uses less digits than its factorization.

100413212301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28389513 (or 28389507 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100413212301 its reverse (103212314001), we get a palindrome (203625526302).

The spelling of 100413212301 in words is "one hundred billion, four hundred thirteen million, two hundred twelve thousand, three hundred one".

Divisors: 1 3 9 27 131 393 1179 3537 28389373 85168119 255504357 766513071 3719007863 11157023589 33471070767 100413212301