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20111000011102 = 27112133129458811
BaseRepresentation
bin1001001001010011101010…
…00000110000000101011110
32122012121000011120022101001
410210221311000300011132
510113444312000323402
6110434511005340514
74143654220400410
oct444516500600536
978177004508331
1020111000011102
116454033239300
12230979126773a
13b2b5c7a22b90
144d75401929b0
1524d1eeb63187
hex124a7503015e

20111000011102 has 96 divisors (see below), whose sum is σ = 42126572500992. Its totient is φ = 6999413256000.

The previous prime is 20111000011019. The next prime is 20111000011121.

20111000011102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14046724 + ... + 15412087.

It is an arithmetic number, because the mean of its divisors is an integer number (438818463552).

Almost surely, 220111000011102 is an apocalyptic number.

20111000011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20111000011102 is an abundant number, since it is smaller than the sum of its proper divisors (22015572489890).

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

20111000011102 is a wasteful number, since it uses less digits than its factorization.

20111000011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29458886 (or 29458875 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 201110000 and 11102, that added together give a palindrome (201121102).

The spelling of 20111000011102 in words is "twenty trillion, one hundred eleven billion, eleven thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 121 143 154 182 217 242 286 341 403 434 682 806 847 1001 1573 1694 2002 2387 2821 3146 3751 4433 4774 5642 7502 8866 11011 22022 26257 31031 48763 52514 62062 97526 341341 682682 29458811 58917622 206211677 324046921 382964543 412423354 648093842 765929086 913223141 1826446282 2268328447 2680751801 3564516131 4212609973 4536656894 5361503602 6392561987 7129032262 8425219946 10045454551 11871900833 12785123974 20090909102 23743801666 24951612917 29488269811 46338709703 49903225834 58976539622 70318181857 83103305831 92677419406 110500000061 130590909163 140636363714 166206611662 221000000122 261181818326 324370967921 648741935842 773500000427 914136364141 1436500000793 1547000000854 1828272728282 2873000001586 10055500005551 20111000011102