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131433023033 = 1343991237257
BaseRepresentation
bin111101001101000000…
…1001100011000111001
3110120020210102100122222
41322122001030120321
54123133323214113
6140213545453425
712332014156034
oct1723201143071
9416223370588
10131433023033
1150816573594
12215807a1275
13c517a46260
14650b93601b
153643a7ce08
hex1e9a04c639

131433023033 has 16 divisors (see below), whose sum is σ = 144981720576. Its totient is φ = 118381253760.

The previous prime is 131433023023. The next prime is 131433023039. The reversal of 131433023033 is 330320334131.

It is a cyclic number.

It is not a de Polignac number, because 131433023033 - 230 = 130359281209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131433022993 and 131433023011.

It is not an unprimeable number, because it can be changed into a prime (131433023039) 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, 435341 + ... + 672597.

It is an arithmetic number, because the mean of its divisors is an integer number (9061357536).

Almost surely, 2131433023033 is an apocalyptic number.

131433023033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131433023033 is a deficient number, since it is larger than the sum of its proper divisors (13548697543).

131433023033 is a wasteful number, since it uses less digits than its factorization.

131433023033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238304.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 131433023033 its reverse (330320334131), we get a palindrome (461753357164).

The spelling of 131433023033 in words is "one hundred thirty-one billion, four hundred thirty-three million, twenty-three thousand, thirty-three".

Divisors: 1 13 43 559 991 12883 42613 237257 553969 3084341 10202051 132626663 235121687 3056581931 10110232541 131433023033