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12003502530 = 235617921051
BaseRepresentation
bin10110010110111011…
…01110100111000010
31010222112201002220210
423023131232213002
5144040344040110
65303032414550
7603313042125
oct131335564702
933875632823
1012003502530
1150aa734128
1223abb47456
131193abcb26
1481c2903bc
154a3c13520
hex2cb76e9c2

12003502530 has 96 divisors (see below), whose sum is σ = 29684225088. Its totient is φ = 3105648000.

The previous prime is 12003502523. The next prime is 12003502543. The reversal of 12003502530 is 3520530021.

It is a junction number, because it is equal to n+sod(n) for n = 12003502497 and 12003502506.

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 47 ways as a sum of consecutive naturals, for example, 11420505 + ... + 11421555.

It is an arithmetic number, because the mean of its divisors is an integer number (309210678).

Almost surely, 212003502530 is an apocalyptic number.

12003502530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003502530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842112544).

12003502530 is an abundant number, since it is smaller than the sum of its proper divisors (17680722558).

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

12003502530 is a wasteful number, since it uses less digits than its factorization.

12003502530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 12003502530 in words is "twelve billion, three million, five hundred two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 79 122 158 183 237 305 366 395 474 610 790 915 1051 1185 1830 2102 2370 3153 4819 5255 6241 6306 9638 10510 12482 14457 15765 18723 24095 28914 31205 31530 37446 48190 62410 64111 72285 83029 93615 128222 144570 166058 187230 192333 249087 320555 380701 384666 415145 498174 641110 761402 830290 961665 1142103 1245435 1903505 1923330 2284206 2490870 3807010 5064769 5710515 6559291 10129538 11421030 13118582 15194307 19677873 25323845 30388614 32796455 39355746 50647690 65592910 75971535 98389365 151943070 196778730 400116751 800233502 1200350253 2000583755 2400700506 4001167510 6001751265 12003502530