Search a number
-
+
10020102022212 = 22313919145476917
BaseRepresentation
bin1001000111001111110010…
…0111110010010001000100
31022110220122010201210020120
42101303330213302101010
52303132132104202322
633151101001101540
72052633316615122
oct221637447622104
938426563653216
1010020102022212
113213557405917
121159b67a878b0
13578b78a04219
14268d92bb0912
151259a4b12a5c
hex91cfc9f2444

10020102022212 has 96 divisors (see below), whose sum is σ = 23680360488960. Its totient is φ = 3297441463680.

The previous prime is 10020102022193. The next prime is 10020102022219. The reversal of 10020102022212 is 21222020102001.

It is a junction number, because it is equal to n+sod(n) for n = 10020102022191 and 10020102022200.

It is not an unprimeable number, because it can be changed into a prime (10020102022219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448616178 + ... + 1448623094.

It is an arithmetic number, because the mean of its divisors is an integer number (246670421760).

Almost surely, 210020102022212 is an apocalyptic number.

10020102022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020102022212 is an abundant number, since it is smaller than the sum of its proper divisors (13660258466748).

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

10020102022212 is a wasteful number, since it uses less digits than its factorization.

10020102022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020102022212 its reverse (21222020102001), we get a palindrome (31242122124213).

The spelling of 10020102022212 in words is "ten trillion, twenty billion, one hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 139 191 278 382 417 556 573 764 834 1146 1668 2292 4547 6917 9094 13641 13834 18188 20751 26549 27282 27668 41502 53098 54564 79647 83004 106196 159294 318588 632033 868477 961463 1264066 1321147 1736954 1896099 1922926 2528132 2605431 2642294 2884389 3473908 3792198 3845852 3963441 5210862 5284588 5768778 7584396 7926882 10421724 11537556 15853764 31451599 62903198 94354797 120718303 125806396 183639433 188709594 241436606 362154909 367278866 377419188 482873212 550918299 724309818 734557732 1101836598 1448619636 2203673196 4371772261 6007255409 8743544522 12014510818 13115316783 17487089044 18021766227 24029021636 26230633566 36043532454 52461267132 72087064908 835008501851 1670017003702 2505025505553 3340034007404 5010051011106 10020102022212