Search a number
-
+
13411103412 = 223721719241293
BaseRepresentation
bin11000111110101110…
…10011001010110100
31021121122100122022210
430133113103022310
5204431220302122
610054434253420
7653224332600
oct143727231264
937548318283
1013411103412
115762244543
122723427270
131359600165
149131c0500
155375aa40c
hex31f5d32b4

13411103412 has 288 divisors, whose sum is σ = 40878794880. Its totient is φ = 3390750720.

The previous prime is 13411103401. The next prime is 13411103443. The reversal of 13411103412 is 21430111431.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 45771538 + ... + 45771830.

It is an arithmetic number, because the mean of its divisors is an integer number (141940260).

Almost surely, 213411103412 is an apocalyptic number.

13411103412 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 13411103412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20439397440).

13411103412 is an abundant number, since it is smaller than the sum of its proper divisors (27467691468).

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

13411103412 is a wasteful number, since it uses less digits than its factorization.

13411103412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13411103412 its reverse (21430111431), we get a palindrome (34841214843).

The spelling of 13411103412 in words is "thirteen billion, four hundred eleven million, one hundred three thousand, four hundred twelve".