Search a number
-
+
1023213131106 = 23892789687031
BaseRepresentation
bin11101110001111000100…
…00010101010101100010
310121211002111000122222120
432320330100111111202
5113231020030143411
62102020240245110
7133632114053055
oct16707420252542
93554074018876
101023213131106
11364a40156971
12146380010796
137564755ba8a
1437749374a9c
151b939626106
hexee3c415562

1023213131106 has 32 divisors (see below), whose sum is σ = 2070164822400. Its totient is φ = 337117376640.

The previous prime is 1023213131027. The next prime is 1023213131111. The reversal of 1023213131106 is 6011313123201.

It is a super-2 number, since 2×10232131311062 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1145811 + ... + 1832841.

It is an arithmetic number, because the mean of its divisors is an integer number (64692650700).

Almost surely, 21023213131106 is an apocalyptic number.

1023213131106 is an abundant number, since it is smaller than the sum of its proper divisors (1046951691294).

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

1023213131106 is a wasteful number, since it uses less digits than its factorization.

1023213131106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689914.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1023213131106 its reverse (6011313123201), we get a palindrome (7034526254307).

The spelling of 1023213131106 in words is "one trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 89 178 267 534 2789 5578 8367 16734 248221 496442 687031 744663 1374062 1489326 2061093 4122186 61145759 122291518 183437277 366874554 1916129459 3832258918 5748388377 11496776754 170535521851 341071043702 511606565553 1023213131106