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132245777133 = 3247312637771
BaseRepresentation
bin111101100101001110…
…1100110101011101101
3110122100102202112200200
41323022131212223231
54131314404332013
6140430341544113
712361113362361
oct1731235465355
9418312675620
10132245777133
11510a3325798
1221768a15039
13c617243442
1465878612a1
1536900c3e73
hex1eca766aed

132245777133 has 12 divisors (see below), whose sum is σ = 195085969728. Its totient is φ = 86288024520.

The previous prime is 132245777129. The next prime is 132245777267. The reversal of 132245777133 is 331777542231.

132245777133 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 577 + 71 + 3 + 3 = 666.

It is not a de Polignac number, because 132245777133 - 22 = 132245777129 is a prime.

It is a super-2 number, since 2×1322457771332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132245777113) 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 11 ways as a sum of consecutive naturals, for example, 156318463 + ... + 156319308.

It is an arithmetic number, because the mean of its divisors is an integer number (16257164144).

Almost surely, 2132245777133 is an apocalyptic number.

It is an amenable number.

132245777133 is a deficient number, since it is larger than the sum of its proper divisors (62840192595).

132245777133 is a wasteful number, since it uses less digits than its factorization.

132245777133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312637824 (or 312637821 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 132245777133 in words is "one hundred thirty-two billion, two hundred forty-five million, seven hundred seventy-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 47 141 423 312637771 937913313 2813739939 14693975237 44081925711 132245777133