Search a number
-
+
10021011111020 = 22571353103887737
BaseRepresentation
bin1001000111010011001011…
…0011101011110001101100
31022110222222111100021122102
42101310302303223301230
52303141012321023040
633151331114034232
72052664666006610
oct221646263536154
938428874307572
1010021011111020
113213983585788
12115a180418978
13578c921607b0
1426903b815340
15125a09837515
hex91d32cebc6c

10021011111020 has 96 divisors (see below), whose sum is σ = 26389147655808. Its totient is φ = 3111645468672.

The previous prime is 10021011111011. The next prime is 10021011111079. The reversal of 10021011111020 is 2011111012001.

It is a junction number, because it is equal to n+sod(n) for n = 10021011110992 and 10021011111010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51847409 + ... + 52040328.

It is an arithmetic number, because the mean of its divisors is an integer number (274886954748).

Almost surely, 210021011111020 is an apocalyptic number.

10021011111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021011111020 is an abundant number, since it is smaller than the sum of its proper divisors (16368136544788).

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

10021011111020 is a wasteful number, since it uses less digits than its factorization.

10021011111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103887819 (or 103887817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021011111020 its reverse (2011111012001), we get a palindrome (12032122123021).

The spelling of 10021011111020 in words is "ten trillion, twenty-one billion, eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 13780 19292 24115 48230 96460 103887737 207775474 415550948 519438685 727214159 1038877370 1350540581 1454428318 2077754740 2701081162 2908856636 3636070795 5402162324 5506050061 6752702905 7272141590 9453784067 11012100122 13505405810 14544283180 18907568134 22024200244 27010811620 27530250305 37815136268 38542350427 47268920335 55060500610 71578650793 77084700854 94537840670 110121001220 143157301586 154169401708 189075681340 192711752135 286314603172 357893253965 385423504270 501050555551 715786507930 770847008540 1002101111102 1431573015860 2004202222204 2505252777755 5010505555510 10021011111020