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131314033035 = 3352643736793
BaseRepresentation
bin111101001001011101…
…1010010000110001011
3110112221111112001002000
41322102323102012023
54122412343024120
6140154055242043
712326040602313
oct1722273220613
9415844461060
10131314033035
1150765391649
1221548979323
13c4c91b3c83
1464d9c00443
1536383c6990
hex1e92ed218b

131314033035 has 32 divisors (see below), whose sum is σ = 233462345280. Its totient is φ = 70029598464.

The previous prime is 131314033027. The next prime is 131314033049. The reversal of 131314033035 is 530330413131.

131314033035 is a `hidden beast` number, since 1 + 313 + 1 + 40 + 3 + 303 + 5 = 666.

It is not a de Polignac number, because 131314033035 - 23 = 131314033027 is a prime.

It is a super-2 number, since 2×1313140330352 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3550599 + ... + 3587391.

It is an arithmetic number, because the mean of its divisors is an integer number (7295698290).

Almost surely, 2131314033035 is an apocalyptic number.

131314033035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131314033035 is a deficient number, since it is larger than the sum of its proper divisors (102148312245).

131314033035 is a wasteful number, since it uses less digits than its factorization.

131314033035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63244 (or 63238 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 131314033035 its reverse (530330413131), we get a palindrome (661644446166).

The spelling of 131314033035 in words is "one hundred thirty-one billion, three hundred fourteen million, thirty-three thousand, thirty-five".

Divisors: 1 3 5 9 15 27 45 135 26437 36793 79311 110379 132185 183965 237933 331137 396555 551895 713799 993411 1189665 1655685 3568995 4967055 972696541 2918089623 4863482705 8754268869 14590448115 26262806607 43771344345 131314033035