Search a number
-
+
12311420352 = 2637113126863
BaseRepresentation
bin10110111011101000…
…10101110111000000
31011210000002221202120
423131310111313000
5200203210422402
65353352244240
7614042226540
oct133564256700
934700087676
1012311420352
115248526370
1224770a0680
13121283081a
1484b125320
154c0c883bc
hex2ddd15dc0

12311420352 has 224 divisors, whose sum is σ = 41923313664. Its totient is φ = 3094502400.

The previous prime is 12311420333. The next prime is 12311420389. The reversal of 12311420352 is 25302411321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444873 + ... + 471735.

Almost surely, 212311420352 is an apocalyptic number.

12311420352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961656832).

12311420352 is an abundant number, since it is smaller than the sum of its proper divisors (29611893312).

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

12311420352 is a wasteful number, since it uses less digits than its factorization.

12311420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26927 (or 26917 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12311420352 its reverse (25302411321), we get a palindrome (37613831673).

The spelling of 12311420352 in words is "twelve billion, three hundred eleven million, four hundred twenty thousand, three hundred fifty-two".