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21022010001120 = 253549189197259
BaseRepresentation
bin1001100011110100100010…
…11100000100011011100000
32202102200111000120211120110
410301322101130010123200
510223411034030013440
6112413213355211320
74266535001502252
oct461722134043340
982380430524513
1021022010001120
11677542566a5a7
122436258746b40
13b964a04c377b
145296838c9cd2
15266c6da54080
hex131e917046e0

21022010001120 has 96 divisors (see below), whose sum is σ = 66354198503040. Its totient is φ = 5594452021760.

The previous prime is 21022010001089. The next prime is 21022010001169. The reversal of 21022010001120 is 2110001022012.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 21022010001096 and 21022010001105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44362950 + ... + 44834309.

It is an arithmetic number, because the mean of its divisors is an integer number (691189567740).

Almost surely, 221022010001120 is an apocalyptic number.

21022010001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022010001120 is an abundant number, since it is smaller than the sum of its proper divisors (45332188501920).

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

21022010001120 is a wasteful number, since it uses less digits than its factorization.

21022010001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89197768 (or 89197760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21022010001120 its reverse (2110001022012), we get a palindrome (23132011023132).

The spelling of 21022010001120 in words is "twenty-one trillion, twenty-two billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 491 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 39280 47136 58920 78560 117840 235680 89197259 178394518 267591777 356789036 445986295 535183554 713578072 891972590 1070367108 1337958885 1427156144 1783945180 2140734216 2675917770 2854312288 3567890360 4281468432 5351835540 7135780720 8562936864 10703671080 14271561440 21407342160 42814684320 43795854169 87591708338 131387562507 175183416676 218979270845 262775125014 350366833352 437958541690 525550250028 656937812535 700733666704 875917083380 1051100500056 1313875625070 1401467333408 1751834166760 2102201000112 2627751250140 3503668333520 4204402000224 5255502500280 7007336667040 10511005000560 21022010001120