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12182530000 = 245411310781
BaseRepresentation
bin10110101100010001…
…01010011111010000
31011110000120122102211
423112020222133100
5144422211430000
65332505521504
7610615540114
oct132610523720
934400518384
1012182530000
1151917a2113
12243baa3294
1311c1c13144
14837d73744
154b47c87ba
hex2d622a7d0

12182530000 has 100 divisors (see below), whose sum is σ = 29758902228. Its totient is φ = 4829440000.

The previous prime is 12182529977. The next prime is 12182530001. The reversal of 12182530000 is 3528121.

It can be written as a sum of positive squares in 10 ways, for example, as 12129938496 + 52591504 = 110136^2 + 7252^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12182530001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1124610 + ... + 1135390.

Almost surely, 212182530000 is an apocalyptic number.

12182530000 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 12182530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879451114).

12182530000 is an abundant number, since it is smaller than the sum of its proper divisors (17576372228).

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

12182530000 is a wasteful number, since it uses less digits than its factorization.

12182530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 12182530000 in words is "twelve billion, one hundred eighty-two million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 625 904 1000 1130 1250 1808 2000 2260 2500 2825 4520 5000 5650 9040 10000 10781 11300 14125 21562 22600 28250 43124 45200 53905 56500 70625 86248 107810 113000 141250 172496 215620 226000 269525 282500 431240 539050 565000 862480 1078100 1130000 1218253 1347625 2156200 2436506 2695250 4312400 4873012 5390500 6091265 6738125 9746024 10781000 12182530 13476250 19492048 21562000 24365060 26952500 30456325 48730120 53905000 60912650 97460240 107810000 121825300 152281625 243650600 304563250 487301200 609126500 761408125 1218253000 1522816250 2436506000 3045632500 6091265000 12182530000