Search a number
-
+
2013322032 = 243231451013
BaseRepresentation
bin111100000000000…
…1101101100110000
312012022102100121200
41320000031230300
513110402301112
6531440251200
7100614645351
oct17000155460
95168370550
102013322032
11943516707
12482310b00
13261160017
14151565d28
15bbb44cdc
hex7800db30

2013322032 has 60 divisors (see below), whose sum is σ = 5816276544. Its totient is φ = 649457280.

The previous prime is 2013322027. The next prime is 2013322039. The reversal of 2013322032 is 2302233102.

It is a happy number.

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 = 2013321996 and 2013322014.

It is not an unprimeable number, because it can be changed into a prime (2013322039) 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, 221043 + ... + 229970.

Almost surely, 22013322032 is an apocalyptic number.

It is an amenable number.

2013322032 is an abundant number, since it is smaller than the sum of its proper divisors (3802954512).

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

2013322032 is a wasteful number, since it uses less digits than its factorization.

2013322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451058 (or 451049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2013322032 is about 44870.0571873939. The cubic root of 2013322032 is about 1262.7123129130.

Adding to 2013322032 its reverse (2302233102), we get a palindrome (4315555134).

It can be divided in two parts, 201 and 3322032, that added together give a palindrome (3322233).

The spelling of 2013322032 in words is "two billion, thirteen million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 451013 902026 1353039 1804052 2706078 3608104 4059117 5412156 7216208 8118234 10824312 13981403 16236468 21648624 27962806 32472936 41944209 55925612 64945872 83888418 111851224 125832627 167776836 223702448 251665254 335553672 503330508 671107344 1006661016 2013322032