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13311300023300 = 22522292931983889
BaseRepresentation
bin1100000110110100011101…
…0011110011010000000100
31202010112210101102012212002
43001231013103303100010
53221043020301221200
644151043220244432
72542465265214266
oct301550723632004
952115711365762
1013311300023300
114272321924824
1215ab99b540718
13757333919c36
143403adc15b36
151813cddeabd5
hexc1b474f3404

13311300023300 has 72 divisors (see below), whose sum is σ = 29110689270600. Its totient is φ = 5283173099520.

The previous prime is 13311300023269. The next prime is 13311300023353. The reversal of 13311300023300 is 332000311331.

It can be written as a sum of positive squares in 12 ways, for example, as 755800719424 + 12555499303876 = 869368^2 + 3543374^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5717756 + ... + 7701644.

Almost surely, 213311300023300 is an apocalyptic number.

13311300023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311300023300 is an abundant number, since it is smaller than the sum of its proper divisors (15799389247300).

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

13311300023300 is a wasteful number, since it uses less digits than its factorization.

13311300023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984425 (or 1984418 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13311300023300 its reverse (332000311331), we get a palindrome (13643300334631).

The spelling of 13311300023300 in words is "thirteen trillion, three hundred eleven billion, three hundred million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 293 458 586 916 1145 1172 1465 2290 2930 4580 5725 5860 7325 11450 14650 22900 29300 67097 134194 268388 335485 670970 1341940 1677425 1983889 3354850 3967778 6709700 7935556 9919445 19838890 39677780 49597225 99194450 198388900 454310581 581279477 908621162 1162558954 1817242324 2271552905 2325117908 2906397385 4543105810 5812794770 9086211620 11357764525 11625589540 14531986925 22715529050 29063973850 45431058100 58127947700 133113000233 266226000466 532452000932 665565001165 1331130002330 2662260004660 3327825005825 6655650011650 13311300023300