Search a number
-
+
1023314441031 = 3360916222383
BaseRepresentation
bin11101110010000100100…
…10110011001101000111
310121211100112122202002000
432321002102303031013
5113231221444103111
62102034255520343
7133634454142221
oct16710222631507
93554315582060
101023314441031
11364a92362583
121463a9b290b3
137566254088c
14377589c7411
151b943488c56
hexee424b3347

1023314441031 has 16 divisors (see below), whose sum is σ = 1516270533120. Its totient is φ = 682097514840.

The previous prime is 1023314441011. The next prime is 1023314441041. The reversal of 1023314441031 is 1301444133201.

1023314441031 is a `hidden beast` number, since 1 + 0 + 233 + 14 + 4 + 410 + 3 + 1 = 666.

1023314441031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1023314441031 - 27 = 1023314440903 is a prime.

It is a super-2 number, since 2×10233144410312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1023314440986 and 1023314441004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023314441011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946735 + ... + 3275648.

It is an arithmetic number, because the mean of its divisors is an integer number (94766908320).

Almost surely, 21023314441031 is an apocalyptic number.

1023314441031 is a deficient number, since it is larger than the sum of its proper divisors (492956092089).

1023314441031 is an equidigital number, since it uses as much as digits as its factorization.

1023314441031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228483 (or 6228477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1023314441031 its reverse (1301444133201), we get a palindrome (2324758574232).

The spelling of 1023314441031 in words is "one trillion, twenty-three billion, three hundred fourteen million, four hundred forty-one thousand, thirty-one".

Divisors: 1 3 9 27 6091 18273 54819 164457 6222383 18667149 56001447 168004341 37900534853 113701604559 341104813677 1023314441031