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31123413201 = 3192314321559
BaseRepresentation
bin11100111111000110…
…011001100011010001
32222100001012012120110
4130333012121203101
51002220043210301
622144202431533
72151160434666
oct347706314321
988301165513
1031123413201
111222139aaa1
1260472025a9
132c2005293a
14171371da6d
15c225870d6
hex73f1998d1

31123413201 has 48 divisors (see below), whose sum is σ = 46263275520. Its totient is φ = 18579546720.

The previous prime is 31123413151. The next prime is 31123413227. The reversal of 31123413201 is 10231432113.

It is not a de Polignac number, because 31123413201 - 29 = 31123412689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31123413241) 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 47 ways as a sum of consecutive naturals, for example, 1432860 + ... + 1454418.

It is an arithmetic number, because the mean of its divisors is an integer number (963818240).

Almost surely, 231123413201 is an apocalyptic number.

31123413201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31123413201 is a deficient number, since it is larger than the sum of its proper divisors (15139862319).

31123413201 is a wasteful number, since it uses less digits than its factorization.

31123413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21674 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31123413201 its reverse (10231432113), we get a palindrome (41354845314).

The spelling of 31123413201 in words is "thirty-one billion, one hundred twenty-three million, four hundred thirteen thousand, two hundred one".

Divisors: 1 3 19 31 43 57 93 129 361 589 817 1083 1333 1767 2451 3999 11191 15523 21559 25327 33573 46569 64677 75981 409621 481213 668329 927037 1228863 1443639 2004987 2781111 7782799 12698251 17613703 23348397 28738147 38094753 52841109 86214441 241266769 334660357 546024793 723800307 1003981071 1638074379 10374471067 31123413201