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13211311230 = 232513192311009
BaseRepresentation
bin11000100110111010…
…01001110001111110
31021002201102010222100
430103131021301332
5204024043424410
610022540125530
7645250202235
oct142335116176
937081363870
1013211311230
11566a493737
1226885368a6
1313270b9630
148d4853b1c
15524c928c0
hex313749c7e

13211311230 has 288 divisors, whose sum is σ = 40340401920. Its totient is φ = 2978519040.

The previous prime is 13211311181. The next prime is 13211311241. The reversal of 13211311230 is 3211311231.

13211311230 is a `hidden beast` number, since 1 + 321 + 1 + 311 + 2 + 30 = 666.

It is a super-2 number, since 2×132113112302 (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13092966 + ... + 13093974.

It is an arithmetic number, because the mean of its divisors is an integer number (140070840).

Almost surely, 213211311230 is an apocalyptic number.

13211311230 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 13211311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170200960).

13211311230 is an abundant number, since it is smaller than the sum of its proper divisors (27129090690).

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

13211311230 is a wasteful number, since it uses less digits than its factorization.

13211311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1082 counting only the distinct ones).

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

Adding to 13211311230 its reverse (3211311231), we get a palindrome (16422622461).

Subtracting from 13211311230 its reverse (3211311231), we obtain a palindrome (9999999999).

The spelling of 13211311230 in words is "thirteen billion, two hundred eleven million, three hundred eleven thousand, two hundred thirty".