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31042211345 = 537611327449
BaseRepresentation
bin11100111010010000…
…101000111000010001
32222010101101201120022
4130322100220320101
51002033301230340
622132142153225
72146153304615
oct347220507021
988111351508
1031042211345
111218a578922
126023b82815
132c092914c2
141706a23345
15c1a3973b5
hex73a428e11

31042211345 has 16 divisors (see below), whose sum is σ = 38265080400. Its totient is φ = 24157753344.

The previous prime is 31042211341. The next prime is 31042211357. The reversal of 31042211345 is 54311224013.

It is a happy number.

It is a Cunningham number, because it is equal to 1761882+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2946752656 + 28095458689 = 54284^2 + 167617^2 .

It is a cyclic number.

It is not a de Polignac number, because 31042211345 - 22 = 31042211341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31042211341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117181 + ... + 1144629.

It is an arithmetic number, because the mean of its divisors is an integer number (2391567525).

Almost surely, 231042211345 is an apocalyptic number.

It is an amenable number.

31042211345 is a deficient number, since it is larger than the sum of its proper divisors (7222869055).

31042211345 is a wasteful number, since it uses less digits than its factorization.

31042211345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33604.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 31042211345 its reverse (54311224013), we get a palindrome (85353435358).

The spelling of 31042211345 in words is "thirty-one billion, forty-two million, two hundred eleven thousand, three hundred forty-five".

Divisors: 1 5 37 185 6113 27449 30565 137245 226181 1015613 1130905 5078065 167795737 838978685 6208442269 31042211345