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2152303131 = 3112314871907
BaseRepresentation
bin1000000001001001…
…1000101000011011
312112222221022211210
42000102120220123
513401442200011
6553323154203
7104223163146
oct20022305033
95488838753
102152303131
11a04a12220
12500975963
13283ba1664
14165bc305d
15c8e496a6
hex80498a1b

2152303131 has 32 divisors (see below), whose sum is σ = 3270647808. Its totient is φ = 1246219040.

The previous prime is 2152303117. The next prime is 2152303133. The reversal of 2152303131 is 1313032512.

It is not a de Polignac number, because 2152303131 - 25 = 2152303099 is a prime.

It is a super-2 number, since 2×21523031312 = 9264817535424806322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2152303098 and 2152303107.

It is not an unprimeable number, because it can be changed into a prime (2152303133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1127680 + ... + 1129586.

It is an arithmetic number, because the mean of its divisors is an integer number (102207744).

Almost surely, 22152303131 is an apocalyptic number.

2152303131 is a deficient number, since it is larger than the sum of its proper divisors (1118344677).

2152303131 is a wasteful number, since it uses less digits than its factorization.

2152303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2152303131 is about 46392.9211302759. The cubic root of 2152303131 is about 1291.1235791073.

Adding to 2152303131 its reverse (1313032512), we get a palindrome (3465335643).

The spelling of 2152303131 in words is "two billion, one hundred fifty-two million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 759 1487 1907 4461 5721 16357 20977 34201 43861 49071 62931 102603 131583 376211 482471 1128633 1447413 2835709 8507127 31192799 65221307 93578397 195663921 717434377 2152303131