Search a number
-
+
200022211201000 = 235326341910391747
BaseRepresentation
bin101101011110101101001100…
…110110001000011111101000
3222020012221021210220222100111
4231132231030312020133220
5202204130442031413000
61545224534004344104
760063061600361536
oct5536551466103750
9866187253828314
10200022211201000
1158807a41722411
121a5257899a5034
13877c023aba576
1437571ab861156
15181d083edacba
hexb5eb4cd887e8

200022211201000 has 256 divisors, whose sum is σ = 471676068864000. Its totient is φ = 79392441427200.

The previous prime is 200022211200997. The next prime is 200022211201027. The reversal of 200022211201000 is 102112220002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114494682127 + ... + 114494683873.

It is an arithmetic number, because the mean of its divisors is an integer number (1842484644000).

Almost surely, 2200022211201000 is an apocalyptic number.

200022211201000 is a gapful number since it is divisible by the number (20) 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 200022211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235838034432000).

200022211201000 is an abundant number, since it is smaller than the sum of its proper divisors (271653857663000).

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

200022211201000 is a wasteful number, since it uses less digits than its factorization.

200022211201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200022211201000 its reverse (102112220002), we get a palindrome (200124323421002).

The spelling of 200022211201000 in words is "two hundred trillion, twenty-two billion, two hundred eleven million, two hundred one thousand".