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131330214114 = 23114148532969
BaseRepresentation
bin111101001001111100…
…1000000100011100010
3110112222121222010100020
41322103321000203202
54122431013322424
6140155434134310
712326325254421
oct1722371004342
9415877863306
10131330214114
1150773533740
1221552281396
13c4cc65b088
1464dc0132b8
153639a21079
hex1e93e408e2

131330214114 has 32 divisors (see below), whose sum is σ = 293527402560. Its totient is φ = 38826374400.

The previous prime is 131330214109. The next prime is 131330214137. The reversal of 131330214114 is 411412033131.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24263779 + ... + 24269190.

It is an arithmetic number, because the mean of its divisors is an integer number (9172731330).

Almost surely, 2131330214114 is an apocalyptic number.

131330214114 is an abundant number, since it is smaller than the sum of its proper divisors (162197188446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131330214114 is a wasteful number, since it uses less digits than its factorization.

131330214114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48533026.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131330214114 its reverse (411412033131), we get a palindrome (542742247245).

The spelling of 131330214114 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 48532969 97065938 145598907 291197814 533862659 1067725318 1601587977 1989851729 3203175954 3979703458 5969555187 11939110374 21888369019 43776738038 65665107057 131330214114