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12363002000 = 245315114091
BaseRepresentation
bin10111000001110010…
…00111000010010000
31011220121011120110222
423200321013002100
5200304412031000
65402434012212
7615236532416
oct134071070220
934817146428
1012363002000
115274657428
122490417068
131220420acb
14853d112b6
154c5576a85
hex2e0e47090

12363002000 has 80 divisors (see below), whose sum is σ = 29920834944. Its totient is φ = 4940720000.

The previous prime is 12363001999. The next prime is 12363002053. The reversal of 12363002000 is 20036321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12363002000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3019955 + ... + 3024045.

Almost surely, 212363002000 is an apocalyptic number.

12363002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12363002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960417472).

12363002000 is an abundant number, since it is smaller than the sum of its proper divisors (17557832944).

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

12363002000 is a wasteful number, since it uses less digits than its factorization.

12363002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12363002000 its reverse (20036321), we get a palindrome (12383038321).

The spelling of 12363002000 in words is "twelve billion, three hundred sixty-three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1511 2000 3022 4091 6044 7555 8182 12088 15110 16364 20455 24176 30220 32728 37775 40910 60440 65456 75550 81820 102275 120880 151100 163640 188875 204550 302200 327280 377750 409100 511375 604400 755500 818200 1022750 1511000 1636400 2045500 3022000 4091000 6181501 8182000 12363002 24726004 30907505 49452008 61815010 98904016 123630020 154537525 247260040 309075050 494520080 618150100 772687625 1236300200 1545375250 2472600400 3090750500 6181501000 12363002000