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10011211102020 = 22351013614326813
BaseRepresentation
bin1001000110101110101010…
…1011100111011101000100
31022110001200111220020121010
42101223222223213131010
52303010430020231040
633143030433522220
72052200100214032
oct221535253473504
938401614806533
1010011211102020
11320a804747997
1211582a6413370
1357808ca264bb
1426878c071552
151256342d0e80
hex91aeaae7744

10011211102020 has 96 divisors (see below), whose sum is σ = 28064677036032. Its totient is φ = 2666487290368.

The previous prime is 10011211101889. The next prime is 10011211102027. The reversal of 10011211102020 is 2020111211001.

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 = 10011211101987 and 10011211102005.

It is not an unprimeable number, because it can be changed into a prime (10011211102027) 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, 373358134 + ... + 373384946.

It is an arithmetic number, because the mean of its divisors is an integer number (292340385792).

Almost surely, 210011211102020 is an apocalyptic number.

10011211102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211102020 is an abundant number, since it is smaller than the sum of its proper divisors (18053465934012).

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

10011211102020 is a wasteful number, since it uses less digits than its factorization.

10011211102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33981 (or 33979 counting only the distinct ones).

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

Adding to 10011211102020 its reverse (2020111211001), we get a palindrome (12031322313021).

The spelling of 10011211102020 in words is "ten trillion, eleven billion, two hundred eleven million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1013 2026 3039 4052 5065 6078 6143 10130 12156 12286 15195 18429 20260 24572 26813 30390 30715 36858 53626 60780 61430 73716 80439 92145 107252 122860 134065 160878 184290 268130 321756 368580 402195 536260 804390 1608780 6222859 12445718 18668577 24891436 27161569 31114295 37337154 54323138 62228590 74674308 81484707 93342885 108646276 124457180 135807845 162969414 164712259 186685770 271615690 325938828 329424518 373371540 407423535 494136777 543231380 658849036 814847070 823561295 988273554 1629694140 1647122590 1976547108 2470683885 3294245180 4941367770 9882735540 166853518367 333707036734 500560555101 667414073468 834267591835 1001121110202 1668535183670 2002242220404 2502802775505 3337070367340 5005605551010 10011211102020