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112653400321 = 71123313203227
BaseRepresentation
bin110100011101010101…
…0100111100100000001
3101202210000020200100001
41220322222213210001
53321203232302241
6123430253200001
711065441050310
oct1507252474401
9352700220301
10112653400321
11438599a9040
12199bb490001
13a814148b77
145649766277
152de5025431
hex1a3aaa7901

112653400321 has 32 divisors (see below), whose sum is σ = 147026515968. Its totient is φ = 83696595840.

The previous prime is 112653400309. The next prime is 112653400331. The reversal of 112653400321 is 123004356211.

It is not a de Polignac number, because 112653400321 - 27 = 112653400193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112653400321.

It is not an unprimeable number, because it can be changed into a prime (112653400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452710 + ... + 655936.

It is an arithmetic number, because the mean of its divisors is an integer number (4594578624).

Almost surely, 2112653400321 is an apocalyptic number.

112653400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112653400321 is a deficient number, since it is larger than the sum of its proper divisors (34373115647).

112653400321 is a wasteful number, since it uses less digits than its factorization.

112653400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203581.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 112653400321 its reverse (123004356211), we get a palindrome (235657756532).

The spelling of 112653400321 in words is "one hundred twelve billion, six hundred fifty-three million, four hundred thousand, three hundred twenty-one".

Divisors: 1 7 11 23 77 161 253 313 1771 2191 3443 7199 24101 50393 79189 203227 554323 1422589 2235497 4674221 15648479 32719547 51416431 63610051 359915017 445270357 699710561 1463031173 4897973927 10241218211 16093342903 112653400321