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11211012021020 = 22574710116869319
BaseRepresentation
bin1010001100100100010001…
…1000111001101100011100
31110200202120200222222210012
42203021010120321230130
52432140123034133040
635502133503302352
72234653220601020
oct243110430715434
943622520888705
1011211012021020
113632622019529
1213109292aa9b8
13634269cb92a6
142aa889d76380
15146956794865
hexa3244639b1c

11211012021020 has 96 divisors (see below), whose sum is σ = 27750976081920. Its totient is φ = 3724745414400.

The previous prime is 11211012020987. The next prime is 11211012021023. The reversal of 11211012021020 is 2012021011211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11211012020986 and 11211012021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211012021023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7770080 + ... + 9099239.

It is an arithmetic number, because the mean of its divisors is an integer number (289072667520).

Almost surely, 211211012021020 is an apocalyptic number.

11211012021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211012021020 is an abundant number, since it is smaller than the sum of its proper divisors (16539964060900).

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

11211012021020 is a wasteful number, since it uses less digits than its factorization.

11211012021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869483 (or 16869481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211012021020 its reverse (2012021011211), we get a palindrome (13223033032231).

The spelling of 11211012021020 in words is "eleven trillion, two hundred eleven billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 101 140 188 202 235 329 404 470 505 658 707 940 1010 1316 1414 1645 2020 2828 3290 3535 4747 6580 7070 9494 14140 18988 23735 33229 47470 66458 94940 132916 166145 332290 664580 16869319 33738638 67477276 84346595 118085233 168693190 236170466 337386380 472340932 590426165 792857993 1180852330 1585715986 1703801219 2361704660 3171431972 3407602438 3964289965 5550005951 6815204876 7928579930 8519006095 11100011902 11926608533 15857159860 17038012190 22200023804 23853217066 27750029755 34076024380 47706434132 55500059510 59633042665 80078657293 111000119020 119266085330 160157314586 238532170660 320314629172 400393286465 560550601051 800786572930 1121101202102 1601573145860 2242202404204 2802753005255 5605506010510 11211012021020