Search a number
-
+
200120001000210 = 2325191034967228751
BaseRepresentation
bin101101100000001000010001…
…100100100111001100010010
3222020120021200221200111002200
4231200020101210213030102
5202212231230224001320
61545341505335224030
760103123116064134
oct5540102144471422
9866507627614080
10200120001000210
11588454634a0995
121a54071b518016
138788309736595
14375bc0714b054
1518208a9191290
hexb60211927312

200120001000210 has 192 divisors, whose sum is σ = 553128045649920. Its totient is φ = 50055492240000.

The previous prime is 200120001000173. The next prime is 200120001000233. The reversal of 200120001000210 is 12000100021002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200120001000192 and 200120001000201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874723335 + ... + 874952085.

It is an arithmetic number, because the mean of its divisors is an integer number (2880875237760).

Almost surely, 2200120001000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120001000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276564022824960).

200120001000210 is an abundant number, since it is smaller than the sum of its proper divisors (353008044649710).

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

200120001000210 is a wasteful number, since it uses less digits than its factorization.

200120001000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233853 (or 233850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200120001000210 its reverse (12000100021002), we get a palindrome (212120101021212).

The spelling of 200120001000210 in words is "two hundred trillion, one hundred twenty billion, one million, two hundred ten", and thus it is an aban number.