Search a number
-
+
23212300131 = 3237533114229
BaseRepresentation
bin10101100111100011…
…111001011101100011
32012220201001000121200
4111213203321131203
5340014322101011
614355200052243
71451136203256
oct254743713543
965821030550
1023212300131
119931813719
1245b9904083
13225c061c47
1411a2b9309d
1590cc98856
hex5678f9763

23212300131 has 48 divisors (see below), whose sum is σ = 35205917760. Its totient is φ = 14721557760.

The previous prime is 23212300093. The next prime is 23212300207. The reversal of 23212300131 is 13100321232.

23212300131 is a `hidden beast` number, since 23 + 212 + 300 + 131 = 666.

It is not a de Polignac number, because 23212300131 - 29 = 23212299619 is a prime.

It is a super-2 number, since 2×232123001312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23212300231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5486725 + ... + 5490953.

It is an arithmetic number, because the mean of its divisors is an integer number (733456620).

Almost surely, 223212300131 is an apocalyptic number.

23212300131 is a deficient number, since it is larger than the sum of its proper divisors (11993617629).

23212300131 is a wasteful number, since it uses less digits than its factorization.

23212300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 4633 counting only the distinct ones).

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

Adding to 23212300131 its reverse (13100321232), we get a palindrome (36312621363).

The spelling of 23212300131 in words is "twenty-three billion, two hundred twelve million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 37 53 111 159 311 333 477 933 1961 2799 4229 5883 11507 12687 16483 17649 34521 38061 49449 103563 148347 156473 224137 469419 609871 672411 1315219 1408257 1829613 2017233 3945657 5488839 8293069 11836971 24879207 48663103 69706607 74637621 145989309 209119821 437967927 627359463 2579144459 7737433377 23212300131