Search a number
-
+
12002020410 = 23537103113929
BaseRepresentation
bin10110010110110000…
…00100110000111010
31010222102220210211110
423023120010300322
5144040004123120
65302540541150
7603264330102
oct131330046072
933872823743
1012002020410
1150a9911636
1223ab5517b6
1311936c1333
1481bdc6202
154a3a1e2e0
hex2cb604c3a

12002020410 has 128 divisors (see below), whose sum is σ = 30167354880. Its totient is φ = 3053223936.

The previous prime is 12002020391. The next prime is 12002020489. The reversal of 12002020410 is 1402020021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12918826 + ... + 12919754.

It is an arithmetic number, because the mean of its divisors is an integer number (235682460).

Almost surely, 212002020410 is an apocalyptic number.

12002020410 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 12002020410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083677440).

12002020410 is an abundant number, since it is smaller than the sum of its proper divisors (18165334470).

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

12002020410 is a wasteful number, since it uses less digits than its factorization.

12002020410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002020410 its reverse (1402020021), we get a palindrome (13404040431).

The spelling of 12002020410 in words is "twelve billion, two million, twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 113 185 206 222 226 309 339 370 515 555 565 618 678 929 1030 1110 1130 1545 1695 1858 2787 3090 3390 3811 4181 4645 5574 7622 8362 9290 11433 11639 12543 13935 19055 20905 22866 23278 25086 27870 34373 34917 38110 41810 57165 58195 62715 68746 69834 95687 103119 104977 114330 116390 125430 171865 174585 191374 206238 209954 287061 314931 343730 349170 430643 478435 515595 524885 574122 629862 861286 956870 1031190 1049770 1291929 1435305 1574655 2153215 2583858 2870610 3149310 3540419 3884149 4306430 6459645 7080838 7768298 10621257 10812631 11652447 12919290 17702095 19420745 21242514 21625262 23304894 32437893 35404190 38841490 53106285 54063155 58262235 64875786 106212570 108126310 116524470 162189465 324378930 400067347 800134694 1200202041 2000336735 2400404082 4000673470 6001010205 12002020410