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131435337306 = 23713240724061
BaseRepresentation
bin111101001101000101…
…0000001011001011010
3110120020221202221020210
41322122022001121122
54123134421243211
6140214111231550
712332042635140
oct1723212013132
9416227687223
10131435337306
1150817904309
12215815185b6
13c518376750
14650bd79590
153643d889a6
hex1e9a28165a

131435337306 has 32 divisors (see below), whose sum is σ = 323533139328. Its totient is φ = 34664264640.

The previous prime is 131435337301. The next prime is 131435337311. The reversal of 131435337306 is 603733534131.

It is an interprime number because it is at equal distance from previous prime (131435337301) and next prime (131435337311).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131435337301) by changing a digit.

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, 120361485 + ... + 120362576.

It is an arithmetic number, because the mean of its divisors is an integer number (10110410604).

Almost surely, 2131435337306 is an apocalyptic number.

131435337306 is an abundant number, since it is smaller than the sum of its proper divisors (192097802022).

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

131435337306 is a wasteful number, since it uses less digits than its factorization.

131435337306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240724086.

The product of its (nonzero) digits is 204120, while the sum is 39.

The spelling of 131435337306 in words is "one hundred thirty-one billion, four hundred thirty-five million, three hundred thirty-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 240724061 481448122 722172183 1444344366 1685068427 3129412793 3370136854 5055205281 6258825586 9388238379 10110410562 18776476758 21905889551 43811779102 65717668653 131435337306