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10022000022120 = 2335532835568149
BaseRepresentation
bin1001000111010110110111…
…0000000101001001101000
31022111002112102011011122110
42101311231300011021220
52303200024001201440
633152013201522320
72053031334424422
oct221655560051150
938432472134573
1010022000022120
113214340815289
12115a3b76433a0
135790bbcb75a8
142690d2cb7812
15125a66578080
hex91d6dc05268

10022000022120 has 128 divisors (see below), whose sum is σ = 30741533424000. Its totient is φ = 2612842312704.

The previous prime is 10022000022113. The next prime is 10022000022149. The reversal of 10022000022120 is 2122000022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022000022096 and 10022000022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984195 + ... + 4583954.

It is an arithmetic number, because the mean of its divisors is an integer number (240168229875).

Almost surely, 210022000022120 is an apocalyptic number.

10022000022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022000022120 is an abundant number, since it is smaller than the sum of its proper divisors (20719533401880).

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

10022000022120 is a wasteful number, since it uses less digits than its factorization.

10022000022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568499 (or 5568495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022000022120 its reverse (2122000022001), we get a palindrome (12144000044121).

The spelling of 10022000022120 in words is "ten trillion, twenty-two billion, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 283 318 424 530 566 636 795 849 1060 1132 1272 1415 1590 1698 2120 2264 2830 3180 3396 4245 5660 6360 6792 8490 11320 14999 16980 29998 33960 44997 59996 74995 89994 119992 149990 179988 224985 299980 359976 449970 599960 899940 1799880 5568149 11136298 16704447 22272596 27840745 33408894 44545192 55681490 66817788 83522235 111362980 133635576 167044470 222725960 295111897 334088940 590223794 668177880 885335691 1180447588 1475559485 1575786167 1770671382 2360895176 2951118970 3151572334 3541342764 4426678455 4727358501 5902237940 6303144668 7082685528 7878930835 8853356910 9454717002 11804475880 12606289336 15757861670 17706713820 18909434004 23636792505 31515723340 35413427640 37818868008 47273585010 63031446680 83516666851 94547170020 167033333702 189094340040 250550000553 334066667404 417583334255 501100001106 668133334808 835166668510 1002200002212 1252750002765 1670333337020 2004400004424 2505500005530 3340666674040 5011000011060 10022000022120