Search a number
-
+
13004030134100 = 2252191367977157
BaseRepresentation
bin1011110100111011110010…
…0110001100011101010100
31201001011200012220112221102
42331032330212030131110
53201024223203242400
643353545144205232
72511336663232445
oct275167446143524
951034605815842
1013004030134100
114163a83aa6135
121560327469818
137343758cab55
1432d5813812cc
151783e83b09d5
hexbd3bc98c754

13004030134100 has 36 divisors (see below), whose sum is σ = 28233496849404. Its totient is φ = 5198892890880.

The previous prime is 13004030134097. The next prime is 13004030134127. The reversal of 13004030134100 is 143103040031.

It can be written as a sum of positive squares in 6 ways, for example, as 209716370704 + 12794313763396 = 457948^2 + 3576914^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33797279 + ... + 34179878.

Almost surely, 213004030134100 is an apocalyptic number.

13004030134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004030134100 is an abundant number, since it is smaller than the sum of its proper divisors (15229466715304).

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

13004030134100 is a wasteful number, since it uses less digits than its factorization.

13004030134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67979084 (or 67979077 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13004030134100 its reverse (143103040031), we get a palindrome (13147133174131).

The spelling of 13004030134100 in words is "thirteen trillion, four billion, thirty million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1913 3826 7652 9565 19130 38260 47825 95650 191300 67977157 135954314 271908628 339885785 679771570 1359543140 1699428925 3398857850 6797715700 130040301341 260080602682 520161205364 650201506705 1300403013410 2600806026820 3251007533525 6502015067050 13004030134100