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10022103211320 = 2332537752410151
BaseRepresentation
bin1001000111010111001111…
…1001101101110100111000
31022111002210121022201121200
42101311303321231310320
52303200231410230240
633152031325334200
72053034026501524
oct221656371556470
938432717281550
1010022103211320
113214393a94912
12115a426107360
135791074a68a5
14269102898d84
15125a7065c930
hex91d73e6dd38

10022103211320 has 96 divisors (see below), whose sum is σ = 33452155357920. Its totient is φ = 2600329478400.

The previous prime is 10022103211301. The next prime is 10022103211363. The reversal of 10022103211320 is 2311230122001.

10022103211320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 21 + 0 + 321 + 1 + 320 = 666.

It is a super-2 number, since 2×100221032113202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10022103211293 and 10022103211302.

It is a congruent number.

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, 376191756 + ... + 376218395.

It is an arithmetic number, because the mean of its divisors is an integer number (348459951645).

Almost surely, 210022103211320 is an apocalyptic number.

10022103211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022103211320 is an abundant number, since it is smaller than the sum of its proper divisors (23430052146600).

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

10022103211320 is a wasteful number, since it uses less digits than its factorization.

10022103211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752410205 (or 752410198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10022103211320 its reverse (2311230122001), we get a palindrome (12333333333321).

The spelling of 10022103211320 in words is "ten trillion, twenty-two billion, one hundred three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 752410151 1504820302 2257230453 3009640604 3762050755 4514460906 6019281208 6771691359 7524101510 9028921812 11286152265 13543382718 15048203020 18057843624 22572304530 27086765436 27839175587 30096406040 33858456795 45144609060 54173530872 55678351174 67716913590 83517526761 90289218120 111356702348 135433827180 139195877935 167035053522 222713404696 250552580283 270867654360 278391755870 334070107044 417587633805 501105160566 556783511740 668140214088 835175267610 1002210321132 1113567023480 1252762901415 1670350535220 2004420642264 2505525802830 3340701070440 5011051605660 10022103211320