Search a number
-
+
100023332033 = 79103103911831
BaseRepresentation
bin101110100100111011…
…0101110110011000001
3100120011210112201210002
41131021312232303001
53114321433111113
6113541115045345
710140446202632
oct1351166566301
9316153481702
10100023332033
1139468621879
1217475740855
1395805bb691
144bac1b5889
1529062e7c58
hex1749daecc1

100023332033 has 16 divisors (see below), whose sum is σ = 102379929600. Its totient is φ = 97696020240.

The previous prime is 100023332011. The next prime is 100023332039. The reversal of 100023332033 is 330233320001.

It is a cyclic number.

It is not a de Polignac number, because 100023332033 - 230 = 98949590209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100023331996 and 100023332014.

It is not an unprimeable number, because it can be changed into a prime (100023332039) 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, 8448428 + ... + 8460258.

It is an arithmetic number, because the mean of its divisors is an integer number (6398745600).

Almost surely, 2100023332033 is an apocalyptic number.

It is an amenable number.

100023332033 is a deficient number, since it is larger than the sum of its proper divisors (2356597567).

100023332033 is a wasteful number, since it uses less digits than its factorization.

100023332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 100023332033 its reverse (330233320001), we get a palindrome (430256652034).

The spelling of 100023332033 in words is "one hundred billion, twenty-three million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 79 103 1039 8137 11831 82081 107017 934649 1218593 8454343 12292409 96268847 971100311 1266118127 100023332033