Base | Representation |
---|---|
bin | 10110110101000011100110… |
… | …010101111001111101011000 |
3 | 111011111102202002120110211200 |
4 | 112311003212111321331120 |
5 | 101130000341110412100 |
6 | 553312302144154200 |
7 | 30101610301552116 |
oct | 2665034625717530 |
9 | 434442662513750 |
10 | 100403020013400 |
11 | 29a9a755329315 |
12 | b316940308960 |
13 | 4403c6c355060 |
14 | 1ab176410aab6 |
15 | b91aa63b1e00 |
hex | 5b50e6579f58 |
100403020013400 has 1152 divisors, whose sum is σ = 377594502405120. Its totient is φ = 23750048931840.
The previous prime is 100403020013381. The next prime is 100403020013407. The reversal of 100403020013400 is 4310020304001.
100403020013400 is a `hidden beast` number, since 10 + 0 + 40 + 3 + 0 + 200 + 13 + 400 = 666.
100403020013400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1004030200134002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100403020013407) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34302362737 + ... + 34302365663.
It is an arithmetic number, because the mean of its divisors is an integer number (327773005560).
Almost surely, 2100403020013400 is an apocalyptic number.
100403020013400 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 100403020013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188797251202560).
100403020013400 is an abundant number, since it is smaller than the sum of its proper divisors (277191482391720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100403020013400 is a wasteful number, since it uses less digits than its factorization.
100403020013400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3545 (or 3533 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 100403020013400 its reverse (4310020304001), we get a palindrome (104713040317401).
The spelling of 100403020013400 in words is "one hundred trillion, four hundred three billion, twenty million, thirteen thousand, four hundred".
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