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1021211101020 = 2235115772681611
BaseRepresentation
bin11101101110001001110…
…11001100011101011100
310121121220221212000000010
432313010323030131130
5113212420020213040
62101045442003220
7133531364064465
oct16670473143534
93547827760003
101021211101020
11364103053050
12145b01646510
13753b88536a6
14375d950bd6c
151b86d9b1e80
hexedc4ecc75c

1021211101020 has 96 divisors (see below), whose sum is σ = 3124743019776. Its totient is φ = 247137177600.

The previous prime is 1021211101003. The next prime is 1021211101021. The reversal of 1021211101020 is 201011121201.

It is a super-2 number, since 2×10212111010202 (a number of 25 digits) contains 22 as substring.

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 = 1021211100987 and 1021211101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021211101021) by changing a digit.

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, 959986 + ... + 1721625.

It is an arithmetic number, because the mean of its divisors is an integer number (32549406456).

Almost surely, 21021211101020 is an apocalyptic number.

1021211101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021211101020 is an abundant number, since it is smaller than the sum of its proper divisors (2103531918756).

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

1021211101020 is a wasteful number, since it uses less digits than its factorization.

1021211101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682211 (or 2682209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021211101020 its reverse (201011121201), we get a palindrome (1222222222221).

The spelling of 1021211101020 in words is "one trillion, twenty-one billion, two hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 577 660 1154 1731 2308 2885 3462 5770 6347 6924 8655 11540 12694 17310 19041 25388 31735 34620 38082 63470 76164 95205 126940 190410 380820 2681611 5363222 8044833 10726444 13408055 16089666 26816110 29497721 32179332 40224165 53632220 58995442 80448330 88493163 117990884 147488605 160896660 176986326 294977210 353972652 442465815 589954420 884931630 1547289547 1769863260 3094579094 4641868641 6189158188 7736447735 9283737282 15472895470 17020185017 18567474564 23209343205 30945790940 34040370034 46418686410 51060555051 68080740068 85100925085 92837372820 102121110102 170201850170 204242220204 255302775255 340403700340 510605550510 1021211101020