Search a number
-
+
100021133322 = 23211505157239
BaseRepresentation
bin101110100100110111…
…0010110000000001010
3100120011122102000201100
41131021232112000022
53114320402231242
6113541000002230
710140421414455
oct1351156260012
9316148360640
10100021133322
113946735a960
1217474a60376
13957cccb976
144babba249c
15290601154c
hex1749b9600a

100021133322 has 24 divisors (see below), whose sum is σ = 236413588320. Its totient is φ = 30309434280.

The previous prime is 100021133297. The next prime is 100021133323. The reversal of 100021133322 is 223331120001.

100021133322 is a `hidden beast` number, since 100 + 0 + 211 + 33 + 322 = 666.

It is a super-2 number, since 2×1000211333222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100021133295 and 100021133304.

It is not an unprimeable number, because it can be changed into a prime (100021133323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252578422 + ... + 252578817.

It is an arithmetic number, because the mean of its divisors is an integer number (9850566180).

Almost surely, 2100021133322 is an apocalyptic number.

100021133322 is an abundant number, since it is smaller than the sum of its proper divisors (136392454998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100021133322 is a wasteful number, since it uses less digits than its factorization.

100021133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505157258 (or 505157255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100021133322 its reverse (223331120001), we get a palindrome (323352253323).

The spelling of 100021133322 in words is "one hundred billion, twenty-one million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 505157239 1010314478 1515471717 3030943434 4546415151 5556729629 9092830302 11113459258 16670188887 33340377774 50010566661 100021133322