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11341302241400 = 23523137241205141
BaseRepresentation
bin1010010100001001101001…
…0010101001100001111000
31111011012212212000221220222
42211002122102221201320
52441303441333211100
640042042231035212
72250245020313645
oct245023222514170
944135785027828
1011341302241400
1136829014a250a
12133202b20bb08
13643632046451
142b2cc9bcadcc
1514a02ed34485
hexa509a4a9878

11341302241400 has 192 divisors, whose sum is σ = 28070909180160. Its totient is φ = 4253783040000.

The previous prime is 11341302241361. The next prime is 11341302241429. The reversal of 11341302241400 is 414220314311.

It is a self number, because there is not a number n which added to its sum of digits gives 11341302241400.

It is a congruent number.

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, 55182830 + ... + 55387970.

It is an arithmetic number, because the mean of its divisors is an integer number (146202651980).

Almost surely, 211341302241400 is an apocalyptic number.

11341302241400 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 11341302241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035454590080).

11341302241400 is an abundant number, since it is smaller than the sum of its proper divisors (16729606938760).

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

11341302241400 is a wasteful number, since it uses less digits than its factorization.

11341302241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205466 (or 205457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 11341302241400 its reverse (414220314311), we get a palindrome (11755522555711).

The spelling of 11341302241400 in words is "eleven trillion, three hundred forty-one billion, three hundred two million, two hundred forty-one thousand, four hundred".