Search a number
-
+
13331011230 = 23251910772859
BaseRepresentation
bin11000110101001011…
…10001011010011110
31021102001122112111200
430122211301122132
5204300214324410
610042453500330
7651232503645
oct143245613236
937361575450
1013331011230
115721010059
1227006416a6
131345b39b34
149066d235c
155305393c0
hex31a97169e

13331011230 has 96 divisors (see below), whose sum is σ = 36826358400. Its totient is φ = 3336313536.

The previous prime is 13331011181. The next prime is 13331011241. The reversal of 13331011230 is 3211013331.

It is a happy number.

13331011230 is a `hidden beast` number, since 1 + 333 + 101 + 1 + 230 = 666.

It is a super-2 number, since 2×133310112302 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146541 + ... + 219399.

It is an arithmetic number, because the mean of its divisors is an integer number (383607900).

Almost surely, 213331011230 is an apocalyptic number.

13331011230 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 13331011230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413179200).

13331011230 is an abundant number, since it is smaller than the sum of its proper divisors (23495347170).

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

13331011230 is a wasteful number, since it uses less digits than its factorization.

13331011230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72998 (or 72995 counting only the distinct ones).

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

Adding to 13331011230 its reverse (3211013331), we get a palindrome (16542024561).

It can be divided in two parts, 1333101 and 1230, that added together give a palindrome (1334331).

The spelling of 13331011230 in words is "thirteen billion, three hundred thirty-one million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 107 114 171 190 214 285 321 342 535 570 642 855 963 1070 1605 1710 1926 2033 3210 4066 4815 6099 9630 10165 12198 18297 20330 30495 36594 60990 72859 91485 145718 182970 218577 364295 437154 655731 728590 1092885 1311462 1384321 2185770 2768642 3278655 4152963 6557310 6921605 7795913 8305926 12458889 13843210 15591826 20764815 23387739 24917778 38979565 41529630 46775478 62294445 70163217 77959130 116938695 124588890 140326434 148122347 233877390 296244694 350816085 444367041 701632170 740611735 888734082 1333101123 1481223470 2221835205 2666202246 4443670410 6665505615 13331011230