Search a number
-
+
21303331302032 = 24131673847159421
BaseRepresentation
bin1001101100000000100010…
…11111101010101010010000
32210102120121210020122011122
410312000101133222222100
510243013210303131112
6113150340523101412
74326054260216153
oct466002137525220
983376553218148
1021303331302032
1168737681637aa
12248088a671868
13bb6b845cccc0
1453913000dc9a
1526e236493872
hex1360117eaa90

21303331302032 has 80 divisors (see below), whose sum is σ = 44728293372672. Its totient is φ = 9770828843520.

The previous prime is 21303331301909. The next prime is 21303331302061. The reversal of 21303331302032 is 23020313330312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 21303331301992 and 21303331302010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133549682 + ... + 133709102.

Almost surely, 221303331302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21303331302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22364146686336).

21303331302032 is an abundant number, since it is smaller than the sum of its proper divisors (23424962070640).

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

21303331302032 is a wasteful number, since it uses less digits than its factorization.

21303331302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163456 (or 163450 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 21303331302032 its reverse (23020313330312), we get a palindrome (44323644632344).

The spelling of 21303331302032 in words is "twenty-one trillion, three hundred three billion, three hundred thirty-one million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1336 2171 2672 3847 4342 7694 8684 15388 17368 30776 34736 50011 61552 100022 159421 200044 318842 400088 637684 642449 800176 1275368 1284898 2072473 2550736 2569796 4144946 5139592 8289892 8351837 10279184 16579784 16703674 26623307 33159568 33407348 53246614 66814696 106493228 133629392 212986456 346102991 425972912 613292587 692205982 1226585174 1384411964 2453170348 2768823928 4906340696 5537647856 7972803631 9812681392 15945607262 31891214524 63782429048 102419862029 127564858096 204839724058 409679448116 819358896232 1331458206377 1638717792464 2662916412754 5325832825508 10651665651016 21303331302032