Search a number
-
+
2202211102000 = 245371357121191
BaseRepresentation
bin100000000010111110000…
…000101010110100110000
321210112021212201011012011
4200002332000222310300
5242040112020231000
64403403134412304
7315050562340420
oct40027600526460
97715255634164
102202211102000
11779a52834708
122b6978061094
1312c88a9a1210
147883249c480
153c4406132ba
hex200be02ad30

2202211102000 has 320 divisors, whose sum is σ = 6565567776768. Its totient is φ = 695710080000.

The previous prime is 2202211101929. The next prime is 2202211102031. The reversal of 2202211102000 is 2011122022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 103911405 + ... + 103932595.

Almost surely, 22202211102000 is an apocalyptic number.

2202211102000 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 2202211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282783888384).

2202211102000 is an abundant number, since it is smaller than the sum of its proper divisors (4363356674768).

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

2202211102000 is a wasteful number, since it uses less digits than its factorization.

2202211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21805 (or 21789 counting only the distinct ones).

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

Adding to 2202211102000 its reverse (2011122022), we get a palindrome (2204222224022).

The spelling of 2202211102000 in words is "two trillion, two hundred two billion, two hundred eleven million, one hundred two thousand".