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1023040031 = 13731078019
BaseRepresentation
bin111100111110100…
…101101000011111
32122022000211002112
4330332211220133
54043344240111
6245303144235
734231460666
oct7476455037
92568024075
101023040031
11485530132
1224674507b
13133c46240
1499c27ddd
155ec32e8b
hex3cfa5a1f

1023040031 has 8 divisors (see below), whose sum is σ = 1116828720. Its totient is φ = 931407552.

The previous prime is 1023040027. The next prime is 1023040043. The reversal of 1023040031 is 1300403201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023040031 - 22 = 1023040027 is a prime.

It is a super-2 number, since 2×10230400312 = 2093221810056961922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023039988 and 1023040015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023040091) 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 7 ways as a sum of consecutive naturals, for example, 538061 + ... + 539958.

It is an arithmetic number, because the mean of its divisors is an integer number (139603590).

Almost surely, 21023040031 is an apocalyptic number.

1023040031 is a deficient number, since it is larger than the sum of its proper divisors (93788689).

1023040031 is a wasteful number, since it uses less digits than its factorization.

1023040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078105.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1023040031 is about 31984.9969673283. The cubic root of 1023040031 is about 1007.6217713484.

Adding to 1023040031 its reverse (1300403201), we get a palindrome (2323443232).

The spelling of 1023040031 in words is "one billion, twenty-three million, forty thousand, thirty-one".

Divisors: 1 13 73 949 1078019 14014247 78695387 1023040031