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21331320031 = 7233747611249
BaseRepresentation
bin10011110111011100…
…100001110011011111
32001001121122100000001
4103313130201303133
5322141304220111
613444404115131
71353416141260
oct236734416337
961047570001
1021331320031
119056a7950a
124173995aa7
13201c45a678
14106503a967
1584ca961c1
hex4f7721cdf

21331320031 has 64 divisors (see below), whose sum is σ = 27141120000. Its totient is φ = 16368168960.

The previous prime is 21331320013. The next prime is 21331320047. The reversal of 21331320031 is 13002313312.

It is not a de Polignac number, because 21331320031 - 29 = 21331319519 is a prime.

It is a super-2 number, since 2×213313200312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21331319990 and 21331320008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331321031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17078095 + ... + 17079343.

It is an arithmetic number, because the mean of its divisors is an integer number (424080000).

Almost surely, 221331320031 is an apocalyptic number.

21331320031 is a deficient number, since it is larger than the sum of its proper divisors (5809799969).

21331320031 is a wasteful number, since it uses less digits than its factorization.

21331320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 21331320031 its reverse (13002313312), we get a palindrome (34333633343).

The spelling of 21331320031 in words is "twenty-one billion, three hundred thirty-one million, three hundred twenty thousand, thirty-one".

Divisors: 1 7 23 37 47 61 161 259 329 427 851 1081 1249 1403 1739 2257 2867 5957 7567 8743 9821 12173 15799 20069 28727 39997 46213 51911 58703 65941 76189 106079 201089 279979 323491 363377 410921 461587 533323 742553 1062899 1350169 1752347 2172011 2439817 2818993 3580883 7440293 9451183 12266429 15204077 17078719 19732951 25066181 49956253 64836839 82360309 132492671 349693771 453857873 576522163 927448697 3047331433 21331320031