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1114111323201 = 32412636019749
BaseRepresentation
bin10000001101100110001…
…101011010110001000001
310221111201100000021000210
4100031212031122301001
5121223144444320301
62211452104104333
7143330500665342
oct20154615326101
93844640007023
101114111323201
1139a545884a78
1215bb097650a9
13810a2493866
143bccd67c0c9
151dea9773ad6
hex1036635ac41

1114111323201 has 32 divisors (see below), whose sum is σ = 1499962464000. Its totient is φ = 735545088000.

The previous prime is 1114111323151. The next prime is 1114111323211. The reversal of 1114111323201 is 1023231114111.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1114111323201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1114111323211) 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, 114274675 + ... + 114284423.

It is an arithmetic number, because the mean of its divisors is an integer number (46873827000).

Almost surely, 21114111323201 is an apocalyptic number.

It is an amenable number.

1114111323201 is a deficient number, since it is larger than the sum of its proper divisors (385851140799).

1114111323201 is a wasteful number, since it uses less digits than its factorization.

1114111323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1114111323201 its reverse (1023231114111), we get a palindrome (2137342437312).

The spelling of 1114111323201 in words is "one trillion, one hundred fourteen billion, one hundred eleven million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 241 263 601 723 789 1803 9749 29247 63383 144841 158063 190149 434523 474189 2349509 2563987 5859149 7048527 7691961 17577447 38093183 114279549 617920867 1412054909 1540956187 1853762601 4236164727 4622868561 371370441067 1114111323201