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231321112001 = 7297116049477
BaseRepresentation
bin1101011101101111010…
…0000000110111000001
3211010002011111000211122
43113123310000313001
512242221201041001
6254133434122025
722466232003230
oct3273364006701
9733064430748
10231321112001
118a114812231
12389b8b80315
1318a76301845
14b2a5b84b17
15603d05db1b
hex35dbd00dc1

231321112001 has 16 divisors (see below), whose sum is σ = 277334979840. Its totient is φ = 188741837760.

The previous prime is 231321111991. The next prime is 231321112027. The reversal of 231321112001 is 100211123132.

231321112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231321112001 - 214 = 231321095617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (231321112601) by changing a digit.

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, 8010326 + ... + 8039151.

It is an arithmetic number, because the mean of its divisors is an integer number (17333436240).

Almost surely, 2231321112001 is an apocalyptic number.

It is an amenable number.

231321112001 is a deficient number, since it is larger than the sum of its proper divisors (46013867839).

231321112001 is a wasteful number, since it uses less digits than its factorization.

231321112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049584.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 231321112001 its reverse (100211123132), we get a palindrome (331532235133).

The spelling of 231321112001 in words is "two hundred thirty-one billion, three hundred twenty-one million, one hundred twelve thousand, one".

Divisors: 1 7 29 71 203 497 2059 14413 16049477 112346339 465434833 1139512867 3258043831 7976590069 33045873143 231321112001