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13411400112 = 243211109173449
BaseRepresentation
bin11000111110110000…
…11011100110110000
31021121122220201022200
430133120123212300
5204431304300422
610054444503200
7653230006605
oct143730334660
937548821280
1013411400112
115762427450
12272354ab00
1313596a5216
1491325a6ac
155376182ac
hex31f61b9b0

13411400112 has 240 divisors, whose sum is σ = 41652468000. Its totient is φ = 3994583040.

The previous prime is 13411400099. The next prime is 13411400131. The reversal of 13411400112 is 21100411431.

It is a super-2 number, since 2×134114001122 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29869264 + ... + 29869712.

It is an arithmetic number, because the mean of its divisors is an integer number (173551950).

Almost surely, 213411400112 is an apocalyptic number.

13411400112 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 13411400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826234000).

13411400112 is an abundant number, since it is smaller than the sum of its proper divisors (28241067888).

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

13411400112 is a wasteful number, since it uses less digits than its factorization.

13411400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13411400112 its reverse (21100411431), we get a palindrome (34511811543).

The spelling of 13411400112 in words is "thirteen billion, four hundred eleven million, four hundred thousand, one hundred twelve".