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10203001311 = 31911312712473
BaseRepresentation
bin10011000000010010…
…10111000111011111
3222100001202011120110
421200021113013133
5131343432020221
64404233421103
7510561036336
oct114011270737
928301664513
1010203001311
114366367998
121b88b6a793
13c67a858a9
146cb0c6d1d
153eab0b776
hex2602571df

10203001311 has 32 divisors (see below), whose sum is σ = 14561648640. Its totient is φ = 6336175104.

The previous prime is 10203001301. The next prime is 10203001321. The reversal of 10203001311 is 11310030201.

10203001311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10203001301) and next prime (10203001321).

It is not a de Polignac number, because 10203001311 - 25 = 10203001279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203001301) 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 31 ways as a sum of consecutive naturals, for example, 811771 + ... + 824243.

It is an arithmetic number, because the mean of its divisors is an integer number (455051520).

Almost surely, 210203001311 is an apocalyptic number.

10203001311 is a deficient number, since it is larger than the sum of its proper divisors (4358647329).

10203001311 is a wasteful number, since it uses less digits than its factorization.

10203001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10203001311 its reverse (11310030201), we get a palindrome (21513031512).

The spelling of 10203001311 in words is "ten billion, two hundred three million, one thousand, three hundred eleven".

Divisors: 1 3 19 57 113 127 339 381 2147 2413 6441 7239 12473 14351 37419 43053 236987 272669 710961 818007 1409449 1584071 4228347 4752213 26779531 30097349 80338593 90292047 179000023 537000069 3401000437 10203001311