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131016333042 = 23277391407053
BaseRepresentation
bin111101000000100101…
…1101001011011110010
3110112011202100022110100
41322001023221123302
54121310140124132
6140104342413230
712315464312310
oct1720113513362
9415152308410
10131016333042
11506223391a1
1221485131216
13c47c61002a
1464ac4690b0
15361c1be37c
hex1e812e96f2

131016333042 has 48 divisors (see below), whose sum is σ = 324860627520. Its totient is φ = 37382557536.

The previous prime is 131016333029. The next prime is 131016333047. The reversal of 131016333042 is 240333610131.

131016333042 is a `hidden beast` number, since 1 + 310 + 16 + 3 + 330 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131016332997 and 131016333015.

It is not an unprimeable number, because it can be changed into a prime (131016333047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 610413 + ... + 796640.

It is an arithmetic number, because the mean of its divisors is an integer number (6767929740).

Almost surely, 2131016333042 is an apocalyptic number.

131016333042 is an abundant number, since it is smaller than the sum of its proper divisors (193844294478).

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

131016333042 is a wasteful number, since it uses less digits than its factorization.

131016333042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407807 (or 1407804 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131016333042 its reverse (240333610131), we get a palindrome (371349943173).

The spelling of 131016333042 in words is "one hundred thirty-one billion, sixteen million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 739 1478 2217 4434 5173 6651 10346 13302 15519 31038 46557 93114 1407053 2814106 4221159 8442318 9849371 12663477 19698742 25326954 29548113 59096226 88644339 177288678 1039812167 2079624334 3119436501 6238873002 7278685169 9358309503 14557370338 18716619006 21836055507 43672111014 65508166521 131016333042