Search a number
-
+
10022112212202 = 2325322229472597
BaseRepresentation
bin1001000111010111010001…
…1100000011010011101010
31022111002211020021000111200
42101311310130003103222
52303200241211242302
633152032250305030
72053034166140256
oct221656434032352
938432736230450
1010022112212202
113214399082362
12115a429128176
1357910930875c
14269103b5d266
15125a7133981c
hex91d747034ea

10022112212202 has 48 divisors (see below), whose sum is σ = 22125327555240. Its totient is φ = 3277517533056.

The previous prime is 10022112212197. The next prime is 10022112212213. The reversal of 10022112212202 is 20221221122001.

It is a happy number.

10022112212202 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 1 + 221 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9822150308961 + 199961903241 = 3134031^2 + 447171^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20970168 + ... + 21442764.

Almost surely, 210022112212202 is an apocalyptic number.

10022112212202 is an abundant number, since it is smaller than the sum of its proper divisors (12103215343038).

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

10022112212202 is a wasteful number, since it uses less digits than its factorization.

10022112212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494887 (or 494884 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022112212202 its reverse (20221221122001), we get a palindrome (30243333334203).

The spelling of 10022112212202 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 22229 44458 66687 133374 200061 400122 472597 945194 1178137 1417791 2356274 2835582 3534411 4253373 7068822 8506746 10603233 21206466 25047641 50095282 75142923 150285846 225428769 450857538 10505358713 21010717426 31516076139 63032152278 94548228417 189096456834 556784011789 1113568023578 1670352035367 3340704070734 5011056106101 10022112212202