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1023120004031 = 29230031533713
BaseRepresentation
bin11101110001101101011…
…01000101001110111111
310121210211222210022122122
432320312231011032333
5113230322210112111
62102003112233155
7133626603354416
oct16706655051677
93553758708578
101023120004031
113649a262a144
1214635499b7bb
13756311836b8
143773ac5247d
151b93137ccdb
hexee36b453bf

1023120004031 has 8 divisors (see below), whose sum is σ = 1058446705680. Its totient is φ = 987796415872.

The previous prime is 1023120004019. The next prime is 1023120004057. The reversal of 1023120004031 is 1304000213201.

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 1023120004031 - 238 = 748242097087 is a prime.

It is a super-3 number, since 3×10231200040313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023120004061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99770 + ... + 1433943.

It is an arithmetic number, because the mean of its divisors is an integer number (132305838210).

Almost surely, 21023120004031 is an apocalyptic number.

1023120004031 is a deficient number, since it is larger than the sum of its proper divisors (35326701649).

1023120004031 is a wasteful number, since it uses less digits than its factorization.

1023120004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556745.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1023120004031 its reverse (1304000213201), we get a palindrome (2327120217232).

The spelling of 1023120004031 in words is "one trillion, twenty-three billion, one hundred twenty million, four thousand, thirty-one".

Divisors: 1 29 23003 667087 1533713 44477677 35280000139 1023120004031