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10021011020020 = 22572111371507143
BaseRepresentation
bin1001000111010011001011…
…0011010101100011110100
31022110222222111011122211001
42101310302303111203310
52303141012310120040
633151331112053044
72052664665150400
oct221646263254364
938428874148731
1010021011020020
113213983523380
12115a180394184
13578c9212b250
1426903b7d0100
15125a0981a59a
hex91d32cd58f4

10021011020020 has 144 divisors (see below), whose sum is σ = 28759601259648. Its totient is φ = 2883167965440.

The previous prime is 10021011019933. The next prime is 10021011020029. The reversal of 10021011020020 is 2002011012001.

10021011020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10021011019979 and 10021011020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021011020029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35613432 + ... + 35893711.

It is an arithmetic number, because the mean of its divisors is an integer number (199719453192).

Almost surely, 210021011020020 is an apocalyptic number.

10021011020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021011020020 is an abundant number, since it is smaller than the sum of its proper divisors (18738590239628).

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

10021011020020 is a wasteful number, since it uses less digits than its factorization.

10021011020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71507190 (or 71507181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021011020020 its reverse (2002011012001), we get a palindrome (12023022032021).

The spelling of 10021011020020 in words is "ten trillion, twenty-one billion, eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 71507143 143014286 286028572 357535715 500550001 715071430 786578573 929592859 1001100002 1430142860 1573157146 1859185718 2002200004 2502750005 3146314292 3503850007 3718371436 3932892865 4647964295 5005500010 5506050011 6507150013 7007700014 7865785730 9295928590 10011000020 10225521449 11012100022 13014300026 14015400028 15731571460 17519250035 18591857180 20451042898 22024200044 26028600052 27530250055 32535750065 35038500070 38542350077 40902085796 45550050091 51127607245 55060500110 65071500130 70077000140 71578650143 77084700154 91100100182 102255214490 110121000220 130143000260 143157300286 154169400308 182200200364 192711750385 204510428980 227750250455 286314600572 357893250715 385423500770 455500500910 501050551001 715786501430 770847001540 911001001820 1002101102002 1431573002860 2004202204004 2505252755005 5010505510010 10021011020020