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11310013200012 = 22313717382947969
BaseRepresentation
bin1010010010010101000101…
…0100011011011010001100
31111001020010021011222012020
42210211101110123122030
52440300401334400022
640015425350210140
72245056445665642
oct244452124333214
944036107158166
1011310013200012
11367060566661a
121327b58653950
136406b68b2387
142b159c4b5192
151492ece8235c
hexa495151b68c

11310013200012 has 96 divisors (see below), whose sum is σ = 26769125073600. Its totient is φ = 3716287414272.

The previous prime is 11310013200011. The next prime is 11310013200037. The reversal of 11310013200012 is 21000231001311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11310013199964 and 11310013200000.

It is not an unprimeable number, because it can be changed into a prime (11310013200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235753564 + ... + 235801532.

It is an arithmetic number, because the mean of its divisors is an integer number (278845052850).

Almost surely, 211310013200012 is an apocalyptic number.

11310013200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11310013200012 is an abundant number, since it is smaller than the sum of its proper divisors (15459111873588).

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

11310013200012 is a wasteful number, since it uses less digits than its factorization.

11310013200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49115 (or 49113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11310013200012 its reverse (21000231001311), we get a palindrome (32310244201323).

The spelling of 11310013200012 in words is "eleven trillion, three hundred ten billion, thirteen million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 137 173 274 346 411 519 548 692 822 829 1038 1644 1658 2076 2487 3316 4974 9948 23701 47402 47969 71103 94804 95938 113573 142206 143417 143907 191876 227146 284412 286834 287814 340719 430251 454292 573668 575628 681438 860502 1362876 1721004 6571753 8298637 13143506 16597274 19648129 19715259 24895911 26287012 33194548 39296258 39430518 39766301 49791822 58944387 78592516 78861036 79532602 99583644 117888774 119298903 159065204 235777548 238597806 477195612 1136913269 2273826538 3410739807 4547653076 5447983237 6821479614 6879570073 10895966474 13642959228 13759140146 16343949711 20638710219 21791932948 27518280292 32687899422 41277420438 65375798844 82554840876 942501100001 1885002200002 2827503300003 3770004400004 5655006600006 11310013200012