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1341120000 = 2935411127
BaseRepresentation
bin100111111101111…
…1101111000000000
310110110112221210010
41033323331320000
510221311320000
6341024504520
745143221563
oct11773757000
93413487703
101341120000
11629033340
1231517b140
13184b0453c
14ca1864da
157cb13d50
hex4fefde00

1341120000 has 400 divisors, whose sum is σ = 4908828672. Its totient is φ = 322560000.

The previous prime is 1341119999. The next prime is 1341120031. The reversal of 1341120000 is 211431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559937 + ... + 10560063.

Almost surely, 21341120000 is an apocalyptic number.

1341120000 is a gapful number since it is divisible by the number (10) 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 1341120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454414336).

1341120000 is an abundant number, since it is smaller than the sum of its proper divisors (3567708672).

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

1341120000 is an equidigital number, since it uses as much as digits as its factorization.

1341120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1341120000 is about 36621.3052743891. The cubic root of 1341120000 is about 1102.7808427851.

Adding to 1341120000 its reverse (211431), we get a palindrome (1341331431).

It can be divided in two parts, 13411 and 20000, that added together give a triangular number (33411 = T258).

The spelling of 1341120000 in words is "one billion, three hundred forty-one million, one hundred twenty thousand".