Base | Representation |
---|---|
bin | 11110100011111110100… |
… | …011011100100010011100 |
3 | 21102210000120120101022100 |
4 | 132203332203130202130 |
5 | 233402214433321434 |
6 | 4244454134445100 |
7 | 304510164533010 |
oct | 36437643344234 |
9 | 7383016511270 |
10 | 2100214745244 |
11 | 73a7725201a0 |
12 | 29b051803790 |
13 | 1230846c17b5 |
14 | 73918250540 |
15 | 39970ed5699 |
hex | 1e8fe8dc89c |
2100214745244 has 288 divisors, whose sum is σ = 6792060667392. Its totient is φ = 531281664000.
The previous prime is 2100214745231. The next prime is 2100214745267. The reversal of 2100214745244 is 4425474120012.
2100214745244 is a `hidden beast` number, since 2 + 100 + 21 + 4 + 7 + 4 + 524 + 4 = 666.
It is a super-2 number, since 2×21002147452442 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2100214745199 and 2100214745208.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66697984 + ... + 66729464.
It is an arithmetic number, because the mean of its divisors is an integer number (23583543984).
Almost surely, 22100214745244 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2100214745244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396030333696).
2100214745244 is an abundant number, since it is smaller than the sum of its proper divisors (4691845922148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100214745244 is a wasteful number, since it uses less digits than its factorization.
2100214745244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32137 (or 32132 counting only the distinct ones).
The product of its (nonzero) digits is 71680, while the sum is 36.
Adding to 2100214745244 its reverse (4425474120012), we get a palindrome (6525688865256).
The spelling of 2100214745244 in words is "two trillion, one hundred billion, two hundred fourteen million, seven hundred forty-five thousand, two hundred forty-four".
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