Search a number
-
+
1310012230221 = 3247101257119311
BaseRepresentation
bin10011000100000010110…
…100000100101001001101
311122020101000010110001200
4103010002310010221031
5132430401112331341
62441451124300113
7163434216142062
oct23040264045115
94566330113050
101310012230221
1146563382aa22
12191a80541639
13966c24a7616
14475951b2c69
1524122debdb6
hex13102d04a4d

1310012230221 has 48 divisors (see below), whose sum is σ = 1959244305408. Its totient is φ = 842996736000.

The previous prime is 1310012230213. The next prime is 1310012230273. The reversal of 1310012230221 is 1220322100131.

It is not a de Polignac number, because 1310012230221 - 23 = 1310012230213 is a prime.

It is a super-2 number, since 2×13100122302212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310012230194 and 1310012230203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310012230421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10920156 + ... + 11039466.

It is an arithmetic number, because the mean of its divisors is an integer number (40817589696).

Almost surely, 21310012230221 is an apocalyptic number.

It is an amenable number.

1310012230221 is a deficient number, since it is larger than the sum of its proper divisors (649232075187).

1310012230221 is a wasteful number, since it uses less digits than its factorization.

1310012230221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119722 (or 119719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310012230221 its reverse (1220322100131), we get a palindrome (2530334330352).

The spelling of 1310012230221 in words is "one trillion, three hundred ten billion, twelve million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 47 101 141 257 303 423 771 909 2313 4747 12079 14241 25957 36237 42723 77871 108711 119311 233613 357933 1073799 1219979 3659937 5607617 10979811 12050411 16822851 30662927 36151233 50468553 91988781 108453699 275966343 566369317 1441157569 1699107951 3096955627 4323472707 5097323853 9290866881 12970418121 27872600643 145556914469 436670743407 1310012230221