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13113234434300 = 2252711213611011933
BaseRepresentation
bin1011111011010010100110…
…1011100010100011111100
31201102121112212001210101112
42332310221223202203330
53204321401003344200
643520045311301152
72522254113406430
oct276645153424374
951377485053345
1013113234434300
1141a6322a82200
12157952381a7b8
1374175a2bc270
143349809d89c0
1517b18a6d0535
hexbed29ae28fc

13113234434300 has 864 divisors, whose sum is σ = 39534634538112. Its totient is φ = 3672345600000.

The previous prime is 13113234434299. The next prime is 13113234434357. The reversal of 13113234434300 is 343443231131.

It is a happy number.

It is a super-2 number, since 2×131132344343002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6783876134 + ... + 6783878066.

Almost surely, 213113234434300 is an apocalyptic number.

13113234434300 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 13113234434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767317269056).

13113234434300 is an abundant number, since it is smaller than the sum of its proper divisors (26421400103812).

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

13113234434300 is a wasteful number, since it uses less digits than its factorization.

13113234434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13113234434300 its reverse (343443231131), we get a palindrome (13456677665431).

The spelling of 13113234434300 in words is "thirteen trillion, one hundred thirteen billion, two hundred thirty-four million, four hundred thirty-four thousand, three hundred".