Search a number
-
+
13411313132 = 2272536771907
BaseRepresentation
bin11000111110110000…
…00110010111101100
31021121122202022000012
430133120012113230
5204431244010012
610054442552352
7653226165200
oct143730062754
937548668005
1013411313132
115762378068
1227235086b8
131359674759
14913236b00
155375ec622
hex31f6065ec

13411313132 has 72 divisors (see below), whose sum is σ = 27872422704. Its totient is φ = 5627975808.

The previous prime is 13411313101. The next prime is 13411313143. The reversal of 13411313132 is 23131311431.

It is a junction number, because it is equal to n+sod(n) for n = 13411313098 and 13411313107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7031723 + ... + 7033629.

It is an arithmetic number, because the mean of its divisors is an integer number (387116982).

Almost surely, 213411313132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936211352).

13411313132 is an abundant number, since it is smaller than the sum of its proper divisors (14461109572).

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

13411313132 is a wasteful number, since it uses less digits than its factorization.

13411313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 13411313132 its reverse (23131311431), we get a palindrome (36542624563).

The spelling of 13411313132 in words is "thirteen billion, four hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 677 742 1354 1484 1907 2597 2708 3814 4739 5194 7628 9478 10388 13349 18956 26698 33173 35881 53396 66346 71762 93443 101071 132692 143524 186886 202142 251167 373772 404284 502334 707497 1004668 1291039 1414994 1758169 2582078 2829988 3516338 4952479 5164156 7032676 9037273 9904958 18074546 19809916 36149092 63260911 68425067 126521822 136850134 253043644 273700268 478975469 957950938 1915901876 3352828283 6705656566 13411313132