Search a number
-
+
202022122112 = 2741107359767
BaseRepresentation
bin1011110000100101110…
…1001111001010000000
3201022110021021010112222
42330021131033022000
511302220130401422
6232450243110212
720411203463516
oct2741135171200
9638407233488
10202022122112
117874a2484a8
12331a0972368
1316087240835
149ac68984b6
1553c5c56842
hex2f0974f280

202022122112 has 64 divisors (see below), whose sum is σ = 416136450240. Its totient is φ = 97626101760.

The previous prime is 202022122103. The next prime is 202022122139. The reversal of 202022122112 is 211221220202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381653 + ... + 741419.

It is an arithmetic number, because the mean of its divisors is an integer number (6502132035).

Almost surely, 2202022122112 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 202022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208068225120).

202022122112 is an abundant number, since it is smaller than the sum of its proper divisors (214114328128).

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

202022122112 is a wasteful number, since it uses less digits than its factorization.

202022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359929 (or 359917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202022122112 its reverse (211221220202), we get a palindrome (413243342314).

The spelling of 202022122112 in words is "two hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 107 128 164 214 328 428 656 856 1312 1712 2624 3424 4387 5248 6848 8774 13696 17548 35096 70192 140384 280768 359767 561536 719534 1439068 2878136 5756272 11512544 14750447 23025088 29500894 38495069 46050176 59001788 76990138 118003576 153980276 236007152 307960552 472014304 615921104 944028608 1231842208 1578297829 1888057216 2463684416 3156595658 4927368832 6313191316 12626382632 25252765264 50505530528 101011061056 202022122112