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10023121330020 = 223251919315185167
BaseRepresentation
bin1001000111011011000010…
…0101100001111101100100
31022111012102120002111220200
42101312300211201331210
52303204323030030040
633152320335230500
72053101201404601
oct221666045417544
938435376074820
1010023121330020
113214866763527
12115a66b078430
1357923a3b8aa6
1426919bba16a8
15125acec1c630
hex91db0961f64

10023121330020 has 144 divisors (see below), whose sum is σ = 32169474704640. Its totient is φ = 2519036817408.

The previous prime is 10023121329853. The next prime is 10023121330037. The reversal of 10023121330020 is 2003312132001.

10023121330020 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 312 + 1 + 330 + 0 + 20 = 666.

It is a super-2 number, since 2×100231213300202 (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 = 10023121329975 and 10023121330002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6932524 + ... + 8252643.

Almost surely, 210023121330020 is an apocalyptic number.

10023121330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023121330020 is an abundant number, since it is smaller than the sum of its proper divisors (22146353374620).

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

10023121330020 is a wasteful number, since it uses less digits than its factorization.

10023121330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185394 (or 15185389 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023121330020 its reverse (2003312132001), we get a palindrome (12026433462021).

It can be divided in two parts, 1002312 and 1330020, that added together give a palindrome (2332332).

The spelling of 10023121330020 in words is "ten trillion, twenty-three billion, one hundred twenty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 193 228 285 342 380 386 570 579 684 772 855 965 1140 1158 1710 1737 1930 2316 2895 3420 3474 3667 3860 5790 6948 7334 8685 11001 11580 14668 17370 18335 22002 33003 34740 36670 44004 55005 66006 73340 110010 132012 165015 220020 330030 660060 15185167 30370334 45555501 60740668 75925835 91111002 136666503 151851670 182222004 227777505 273333006 288518173 303703340 455555010 546666012 577036346 683332515 865554519 911110020 1154072692 1366665030 1442590865 1731109038 2596663557 2733330060 2885181730 2930737231 3462218076 4327772595 5193327114 5770363460 5861474462 8655545190 8792211693 10386654228 11722948924 12983317785 14653686155 17311090380 17584423386 25966635570 26376635079 29307372310 35168846772 43961058465 51933271140 52753270158 55684007389 58614744620 87922116930 105506540316 111368014778 131883175395 167052022167 175844233860 222736029556 263766350790 278420036945 334104044334 501156066501 527532701580 556840073890 668208088668 835260110835 1002312133002 1113680147780 1670520221670 2004624266004 2505780332505 3341040443340 5011560665010 10023121330020