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112232122401 = 37172711115963
BaseRepresentation
bin110100010000110001…
…1100100100000100001
3101201200122112112200010
41220201203210200201
53314322410404101
6123320403515133
711052134204640
oct1504143444041
9351618475603
10112232122401
114366311a773
1219902388aa9
13a777a975a9
145609823357
152dbd05c2d6
hex1a218e4821

112232122401 has 32 divisors (see below), whose sum is σ = 181148755968. Its totient is φ = 60337347840.

The previous prime is 112232122397. The next prime is 112232122421. The reversal of 112232122401 is 104221232211.

It is a happy number.

It is not a de Polignac number, because 112232122401 - 22 = 112232122397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112232122421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909846 + ... + 1025808.

It is an arithmetic number, because the mean of its divisors is an integer number (5660898624).

Almost surely, 2112232122401 is an apocalyptic number.

It is an amenable number.

112232122401 is a deficient number, since it is larger than the sum of its proper divisors (68916633567).

112232122401 is a wasteful number, since it uses less digits than its factorization.

112232122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118701.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 112232122401 its reverse (104221232211), we get a palindrome (216453354612).

The spelling of 112232122401 in words is "one hundred twelve billion, two hundred thirty-two million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 17 21 51 119 357 2711 8133 18977 46087 56931 115963 138261 322609 347889 811741 967827 1971371 2435223 5914113 13799597 41398791 314375693 943127079 2200629851 5344386781 6601889553 16033160343 37410707467 112232122401