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20002010001012 = 223213386691105261
BaseRepresentation
bin1001000110001000101001…
…01100110110111001110100
32121211011200110122010200200
410203010110230312321310
510110203104030013022
6110312444015240500
74133045311526064
oct443042454667164
977734613563620
1020002010001012
1164118942155a6
1222b0634819130
13b21248850250
144d216119b3a4
1524a471571bac
hex123114b36e74

20002010001012 has 72 divisors (see below), whose sum is σ = 54451373481960. Its totient is φ = 6154299889920.

The previous prime is 20002010001011. The next prime is 20002010001023. The reversal of 20002010001012 is 21010001020002.

It can be written as a sum of positive squares in 4 ways, for example, as 1838508199056 + 18163501801956 = 1355916^2 + 4261866^2 .

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 = 20002010000985 and 20002010001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002010001011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17544462 + ... + 18649722.

Almost surely, 220002010001012 is an apocalyptic number.

It is an amenable number.

20002010001012 is an abundant number, since it is smaller than the sum of its proper divisors (34449363480948).

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

20002010001012 is a wasteful number, since it uses less digits than its factorization.

20002010001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143953 (or 1143948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20002010001012 its reverse (21010001020002), we get a palindrome (41012011021014).

The spelling of 20002010001012 in words is "twenty trillion, two billion, ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 38669 77338 116007 154676 232014 348021 464028 502697 696042 1005394 1105261 1392084 1508091 2010788 2210522 3016182 3315783 4421044 4524273 6032364 6631566 9048546 9947349 13263132 14368393 18097092 19894698 28736786 39789396 43105179 57473572 86210358 129315537 172420716 258631074 517262148 42739337609 85478675218 128218012827 170957350436 256436025654 384654038481 512872051308 555611388917 769308076962 1111222777834 1538616153924 1666834166751 2222445555668 3333668333502 5000502500253 6667336667004 10001005000506 20002010001012