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13311023000310 = 23257152313873019
BaseRepresentation
bin1100000110110011011011…
…0011000010101011110110
31202010112002002010222202100
43001230312303002223312
53221041433342002220
644150555522522530
72542455362443140
oct301546663025366
952115062128670
1013311023000310
11427219a514302
1215ab922806446
137572bb4055c9
14340385103c90
151813b4929d90
hexc1b36cc2af6

13311023000310 has 96 divisors (see below), whose sum is σ = 39578727202560. Its totient is φ = 3040521609024.

The previous prime is 13311023000279. The next prime is 13311023000381. The reversal of 13311023000310 is 1300032011331.

It is a happy number.

13311023000310 is a `hidden beast` number, since 1 + 331 + 1 + 0 + 2 + 300 + 0 + 31 + 0 = 666.

It is a super-2 number, since 2×133110230003102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5977020 + ... + 7895999.

It is an arithmetic number, because the mean of its divisors is an integer number (412278408360).

Almost surely, 213311023000310 is an apocalyptic number.

13311023000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311023000310 is an abundant number, since it is smaller than the sum of its proper divisors (26267704202250).

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

13311023000310 is a wasteful number, since it uses less digits than its factorization.

13311023000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874562 (or 13874559 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13311023000310 its reverse (1300032011331), we get a palindrome (14611055011641).

The spelling of 13311023000310 in words is "thirteen trillion, three hundred eleven billion, twenty-three million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1523 3046 4569 7615 9138 10661 13707 15230 21322 22845 27414 31983 45690 53305 63966 68535 95949 106610 137070 159915 191898 319830 479745 959490 13873019 27746038 41619057 69365095 83238114 97111133 124857171 138730190 194222266 208095285 249714342 291333399 416190570 485555665 582666798 624285855 874000197 971111330 1248571710 1456666995 1748000394 2913333990 4370000985 8740001970 21128607937 42257215874 63385823811 105643039685 126771647622 147900255559 190157471433 211286079370 295800511118 316929119055 380314942866 443700766677 633858238110 739501277795 887401533354 950787357165 1331102300031 1479002555590 1901574714330 2218503833385 2662204600062 4437007666770 6655511500155 13311023000310