Search a number
-
+
1310031011223 = 321117778390381
BaseRepresentation
bin10011000100000011111…
…011101101110110010111
311122020102022110121202100
4103010003323231312113
5132430420414324343
62441453035013143
7163434534603144
oct23040373556627
94566368417670
101310031011223
11465643398410
12191a8689a1b3
13966c6351c3c
14475978a13cb
15241248ab9d3
hex13103eedd97

1310031011223 has 24 divisors (see below), whose sum is σ = 2185720192656. Its totient is φ = 747254764800.

The previous prime is 1310031011209. The next prime is 1310031011231. The reversal of 1310031011223 is 3221101300131.

1310031011223 is a `hidden beast` number, since 131 + 0 + 0 + 310 + 1 + 1 + 223 = 666.

It is not a de Polignac number, because 1310031011223 - 212 = 1310031007127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310031011196 and 1310031011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310031011293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389193508 + ... + 389196873.

It is an arithmetic number, because the mean of its divisors is an integer number (91071674694).

Almost surely, 21310031011223 is an apocalyptic number.

1310031011223 is a deficient number, since it is larger than the sum of its proper divisors (875689181433).

1310031011223 is a wasteful number, since it uses less digits than its factorization.

1310031011223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778390415 (or 778390412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310031011223 its reverse (3221101300131), we get a palindrome (4531132311354).

The spelling of 1310031011223 in words is "one trillion, three hundred ten billion, thirty-one million, eleven thousand, two hundred twenty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 778390381 2335171143 7005513429 8562294191 13232636477 25686882573 39697909431 77060647719 119093728293 145559001247 436677003741 1310031011223