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13411214300 = 225211101120713
BaseRepresentation
bin11000111110101111…
…01110001111011100
31021121122120021102202
430133113232033130
5204431232324200
610054440511032
7653225304101
oct143727561734
937548507382
1013411214300
11576230a890
12272347b478
13135963b783
1491320caa8
155375cd1d5
hex31f5ee3dc

13411214300 has 72 divisors (see below), whose sum is σ = 32062604112. Its totient is φ = 4828480000.

The previous prime is 13411214273. The next prime is 13411214309. The reversal of 13411214300 is 341211431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411214309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50744 + ... + 171456.

It is an arithmetic number, because the mean of its divisors is an integer number (445313946).

Almost surely, 213411214300 is an apocalyptic number.

13411214300 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 13411214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031302056).

13411214300 is an abundant number, since it is smaller than the sum of its proper divisors (18651389812).

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

13411214300 is a wasteful number, since it uses less digits than its factorization.

13411214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120839 (or 120832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13411214300 its reverse (341211431), we get a palindrome (13752425731).

The spelling of 13411214300 in words is "thirteen billion, four hundred eleven million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 120713 241426 482852 603565 1207130 1327843 2414260 2655686 3017825 5311372 6035650 6639215 12071300 12192013 13278430 24384026 26556860 33196075 48768052 60960065 66392150 121920130 132784300 134112143 243840260 268224286 304800325 536448572 609600650 670560715 1219201300 1341121430 2682242860 3352803575 6705607150 13411214300