Search a number
-
+
13123110330 = 23251115784431
BaseRepresentation
bin11000011100011001…
…01100010110111010
31020212120110002002100
430032030230112322
5203334004012310
610010105444230
7643126411611
oct141614542672
936776402070
1013123110330
115624721030
122662aa0676
131311a47555
148c6c54878
1551c16dec0
hex30e32c5ba

13123110330 has 96 divisors (see below), whose sum is σ = 37459438848. Its totient is φ = 3161059200.

The previous prime is 13123110293. The next prime is 13123110349. The reversal of 13123110330 is 3301132131.

It is a happy number.

13123110330 is a `hidden beast` number, since 13 + 12 + 311 + 0 + 330 = 666.

13123110330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113215 + ... + 197645.

It is an arithmetic number, because the mean of its divisors is an integer number (390202488).

Almost surely, 213123110330 is an apocalyptic number.

13123110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729719424).

13123110330 is an abundant number, since it is smaller than the sum of its proper divisors (24336328518).

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

13123110330 is a wasteful number, since it uses less digits than its factorization.

13123110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84612 (or 84609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13123110330 its reverse (3301132131), we get a palindrome (16424242461).

The spelling of 13123110330 in words is "thirteen billion, one hundred twenty-three million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 157 165 198 314 330 471 495 785 942 990 1413 1570 1727 2355 2826 3454 4710 5181 7065 8635 10362 14130 15543 17270 25905 31086 51810 77715 84431 155430 168862 253293 422155 506586 759879 844310 928741 1266465 1519758 1857482 2532930 2786223 3799395 4643705 5572446 7598790 8358669 9287410 13255667 13931115 16717338 26511334 27862230 39767001 41793345 66278335 79534002 83586690 119301003 132556670 145812337 198835005 238602006 291624674 397670010 437437011 596505015 729061685 874874022 1193010030 1312311033 1458123370 2187185055 2624622066 4374370110 6561555165 13123110330