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2111400414331 = 132937437348221
BaseRepresentation
bin11110101110011001010…
…001011000110001111011
321110211220010101020122121
4132232121101120301323
5234043122001224311
64253544114302111
7305354320255105
oct36563121306173
97424803336577
102111400414331
11744492542a0a
122a1253887937
13124147c264c0
1474299a52575
1539dc7eecb71
hex1eb99458c7b

2111400414331 has 64 divisors (see below), whose sum is σ = 2505892878720. Its totient is φ = 1763805818880.

The previous prime is 2111400414301. The next prime is 2111400414349. The reversal of 2111400414331 is 1334140041112.

It is a cyclic number.

It is not a de Polignac number, because 2111400414331 - 27 = 2111400414203 is a prime.

It is a super-2 number, since 2×21114004143312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2111400414296 and 2111400414305.

It is not an unprimeable number, because it can be changed into a prime (2111400414301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43761801 + ... + 43810021.

It is an arithmetic number, because the mean of its divisors is an integer number (39154576230).

Almost surely, 22111400414331 is an apocalyptic number.

2111400414331 is a deficient number, since it is larger than the sum of its proper divisors (394492464389).

2111400414331 is a wasteful number, since it uses less digits than its factorization.

2111400414331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48416.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 2111400414331 its reverse (1334140041112), we get a palindrome (3445540455443).

The spelling of 2111400414331 in words is "two trillion, one hundred eleven billion, four hundred million, four hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 13 29 37 43 73 377 481 559 949 1073 1247 1591 2117 2701 3139 13949 16211 20683 27521 35113 40807 46139 48221 78329 91031 116143 599807 626873 1018277 1183403 1398409 1509859 1784177 2073503 3368147 3520133 18179317 23194301 26955539 43785911 45761729 51741133 60131587 76719611 102083857 130244921 151365719 672634729 781710631 997354943 1327090141 1693183973 1967754347 2224868719 3777102709 4389605851 5600531603 28923293347 49102335217 57064876063 72806910839 162415416487 2111400414331