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134213444312431 = 11273137110909111
BaseRepresentation
bin11110100001000100000000…
…101011000001110101101111
3122121012200100200211111201211
4132201010000223001311233
5120042423113220444211
61153240445524215251
740161413160350011
oct3641040053016557
9577180320744654
10134213444312431
1139845669416a00
121307756ab3a527
1359b7372b29733
14251dd72d661b1
15107b2ede42e21
hex7a1100ac1d6f

134213444312431 has 24 divisors (see below), whose sum is σ = 150636312281952. Its totient is φ = 119462420563200.

The previous prime is 134213444312429. The next prime is 134213444312443.

134213444312431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134213444312431 - 21 = 134213444312429 is a prime.

It is a super-2 number, since 2×1342134443124312 (a number of 29 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 (134213444312411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54244435 + ... + 56664676.

It is an arithmetic number, because the mean of its divisors is an integer number (6276513011748).

Almost surely, 2134213444312431 is an apocalyptic number.

134213444312431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134213444312431 is a deficient number, since it is larger than the sum of its proper divisors (16422867969521).

134213444312431 is a wasteful number, since it uses less digits than its factorization.

134213444312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110909343 (or 110909332 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 134213444312431 in words is "one hundred thirty-four trillion, two hundred thirteen billion, four hundred forty-four million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 11 73 121 137 803 1507 8833 10001 16577 110011 1210121 110909111 1220000221 8096365103 13420002431 15194548207 89060016133 167140030277 979660177463 1109202019111 1838540333047 12201222210221 134213444312431