Search a number
-
+
100400300033 = 11149122949843
BaseRepresentation
bin101110110000001010…
…0110000000000000001
3100121011001212200122212
41131200110300000001
53121104434100113
6114042342511505
710153004316665
oct1354024600001
9317131780585
10100400300033
1139641396480
121755ba35595
139610727777
144c062a28a5
15292945c0a8
hex1760530001

100400300033 has 16 divisors (see below), whose sum is σ = 110354616000. Its totient is φ = 90584844480.

The previous prime is 100400300009. The next prime is 100400300041. The reversal of 100400300033 is 330003004001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100400300033 - 222 = 100396105729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100400299990 and 100400300017.

It is not an unprimeable number, because it can be changed into a prime (100400300093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989410 + ... + 2039252.

It is an arithmetic number, because the mean of its divisors is an integer number (6897163500).

Almost surely, 2100400300033 is an apocalyptic number.

It is an amenable number.

100400300033 is a deficient number, since it is larger than the sum of its proper divisors (9954315967).

100400300033 is a wasteful number, since it uses less digits than its factorization.

100400300033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51232.

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 100400300033 its reverse (330003004001), we get a palindrome (430403304034).

The spelling of 100400300033 in words is "one hundred billion, four hundred million, three hundred thousand, thirty-three".

Divisors: 1 11 149 1229 1639 13519 49843 183121 548273 2014331 7426607 61257047 81692677 673827517 9127300003 100400300033