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131433420314 = 27712774631031
BaseRepresentation
bin111101001101000001…
…0101101011000011010
3110120020211011112122002
41322122002231120122
54123133423422224
6140214002201002
712332020432220
oct1723202553032
9416224145562
10131433420314
1150816815019
1221580953162
13c517b55031
14650b9dab10
153643b0a9ae
hex1e9a0ad61a

131433420314 has 64 divisors (see below), whose sum is σ = 230030917632. Its totient is φ = 55161691200.

The previous prime is 131433420277. The next prime is 131433420319. The reversal of 131433420314 is 413024334131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131433420319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127480979 + ... + 127482009.

It is an arithmetic number, because the mean of its divisors is an integer number (3594233088).

Almost surely, 2131433420314 is an apocalyptic number.

131433420314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131433420314 is a deficient number, since it is larger than the sum of its proper divisors (98597497318).

131433420314 is a wasteful number, since it uses less digits than its factorization.

131433420314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 131433420314 its reverse (413024334131), we get a palindrome (544457754445).

The spelling of 131433420314 in words is "one hundred thirty-one billion, four hundred thirty-three million, four hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 7 14 71 142 277 463 497 554 926 994 1031 1939 2062 3241 3878 6482 7217 14434 19667 32873 39334 65746 73201 128251 137669 146402 230111 256502 275338 285587 460222 477353 512407 571174 897757 954706 1024814 1795514 1999109 3341471 3998218 6682942 9105821 18211642 20276677 33892063 40553354 63740747 67784126 127481494 132226781 141936739 237244441 264453562 283873478 474488882 925587467 1851174934 9388101451 18776202902 65716710157 131433420314