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100020010011012 = 223271330531138587
BaseRepresentation
bin10110101111011110111001…
…001010101100100110000100
3111010010211010110200102001200
4112233132321022230212010
5101102211440030323022
6552420320330422500
730032131042342620
oct2657367112544604
9433124113612050
10100020010011012
1129962280153663
12b27466ab91a30
1343a6b00917450
141a9adcc582180
15b86b3b366bac
hex5af7b92ac984

100020010011012 has 72 divisors (see below), whose sum is σ = 311173364488896. Its totient is φ = 26378903738304.

The previous prime is 100020010010989. The next prime is 100020010011023. The reversal of 100020010011012 is 210110010020001.

It is a happy number.

It is a super-2 number, since 2×1000200100110122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100020010010985 and 100020010011003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15265566018 + ... + 15265572569.

It is an arithmetic number, because the mean of its divisors is an integer number (4321852284568).

Almost surely, 2100020010011012 is an apocalyptic number.

100020010011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020010011012 is an abundant number, since it is smaller than the sum of its proper divisors (211153354477884).

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

100020010011012 is a wasteful number, since it uses less digits than its factorization.

100020010011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30531138617 (or 30531138612 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020010011012 its reverse (210110010020001), we get a palindrome (310130020031013).

The spelling of 100020010011012 in words is "one hundred trillion, twenty billion, ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 30531138587 61062277174 91593415761 122124554348 183186831522 213717970109 274780247283 366373663044 396904801631 427435940218 549560494566 641153910327 793809603262 854871880436 1099120989132 1190714404893 1282307820654 1587619206524 1923461730981 2381428809786 2564615641308 2778333611417 3572143214679 3846923461962 4762857619572 5556667222834 7144286429358 7693846923924 8335000834251 11113334445668 14288572858716 16670001668502 25005002502753 33340003337004 50010005005506 100020010011012