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131920833 = 311171132081
BaseRepresentation
bin1111101110011…
…11001111000001
3100012020021100210
413313033033001
5232232431313
621031304333
73161210562
oct767171701
9305207323
10131920833
1168514090
123821b0a9
132143bb85
1413740169
15b8ac9c3
hex7dcf3c1

131920833 has 32 divisors (see below), whose sum is σ = 205068672. Its totient is φ = 74547200.

The previous prime is 131920829. The next prime is 131920837. The reversal of 131920833 is 338029131.

It is an interprime number because it is at equal distance from previous prime (131920829) and next prime (131920837).

It is a cyclic number.

It is not a de Polignac number, because 131920833 - 22 = 131920829 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131920833.

It is not an unprimeable number, because it can be changed into a prime (131920837) 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 31 ways as a sum of consecutive naturals, for example, 62353 + ... + 64433.

It is an arithmetic number, because the mean of its divisors is an integer number (6408396).

Almost surely, 2131920833 is an apocalyptic number.

It is an amenable number.

131920833 is a deficient number, since it is larger than the sum of its proper divisors (73147839).

131920833 is a wasteful number, since it uses less digits than its factorization.

131920833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 131920833 is about 11485.6794748939. The cubic root of 131920833 is about 509.0625261725.

Adding to 131920833 its reverse (338029131), we get a palindrome (469949964).

The spelling of 131920833 in words is "one hundred thirty-one million, nine hundred twenty thousand, eight hundred thirty-three".

Divisors: 1 3 11 17 33 51 113 187 339 561 1243 1921 2081 3729 5763 6243 21131 22891 35377 63393 68673 106131 235153 389147 705459 1167441 2586683 3997601 7760049 11992803 43973611 131920833