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31243100134213 = 11199107449132833
BaseRepresentation
bin1110001101010010110011…
…11000101001101101000101
311002121210220100220112121201
413012221121320221231011
513043341332113243323
6150240514305142501
76403145101240222
oct706513170515505
9132553810815551
1031243100134213
119a56140579980
12360715702aa31
13145829a150646
147a0261ab2949
15392a8871e8ad
hex1c6a59e29b45

31243100134213 has 16 divisors (see below), whose sum is σ = 34255231920000. Its totient is φ = 28259614817280.

The previous prime is 31243100134201. The next prime is 31243100134231.

31243100134213 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-31243100134213 is a prime.

It is a super-2 number, since 2×312431001342132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243100134013) 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 15 ways as a sum of consecutive naturals, for example, 235139445 + ... + 235272277.

It is an arithmetic number, because the mean of its divisors is an integer number (2140951995000).

Almost surely, 231243100134213 is an apocalyptic number.

It is an amenable number.

31243100134213 is a deficient number, since it is larger than the sum of its proper divisors (3012131785787).

31243100134213 is a wasteful number, since it uses less digits than its factorization.

31243100134213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240492.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 31243100 and 134213, that added together give a palindrome (31377313).

The spelling of 31243100134213 in words is "thirty-one trillion, two hundred forty-three billion, one hundred million, one hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 11 199 2189 107449 132833 1181939 1461163 21382351 26433767 235205861 290771437 14272773017 157000503187 2840281830383 31243100134213