Search a number
-
+
1022122010200 = 2352231371978233
BaseRepresentation
bin11101101111110110011…
…10000010011001011000
310121201021102212222111011
432313323032002121120
5113221301213311300
62101320101543304
7133563064510414
oct16677316023130
93551242788434
101022122010200
11364530256655
12146116714b34
13755024996c5
14376844a7d44
151b8c3945eba
hexedfb382658

1022122010200 has 192 divisors, whose sum is σ = 2510841706560. Its totient is φ = 386200657920.

The previous prime is 1022122010123. The next prime is 1022122010213. The reversal of 1022122010200 is 20102212201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124145284 + ... + 124153516.

It is an arithmetic number, because the mean of its divisors is an integer number (13077300555).

Almost surely, 21022122010200 is an apocalyptic number.

1022122010200 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 1022122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255420853280).

1022122010200 is an abundant number, since it is smaller than the sum of its proper divisors (1488719696360).

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

1022122010200 is a wasteful number, since it uses less digits than its factorization.

1022122010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8597 counting only the distinct ones).

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

Adding to 1022122010200 its reverse (20102212201), we get a palindrome (1042224222401).

The spelling of 1022122010200 in words is "one trillion, twenty-two billion, one hundred twenty-two million, ten thousand, two hundred".