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12013301000 = 235319679437
BaseRepresentation
bin10110011000000110…
…00110110100001000
31011000020010220220002
423030003012310020
5144100401113000
65304022422132
7603462242111
oct131403066410
934006126802
1012013301000
115105216938
1223b3291948
131195b40a3c
1481d6c1208
154a49eb8d5
hex2cc0c6d08

12013301000 has 128 divisors (see below), whose sum is σ = 30035491200. Its totient is φ = 4483987200.

The previous prime is 12013300961. The next prime is 12013301017. The reversal of 12013301000 is 10331021.

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 31 ways as a sum of consecutive naturals, for example, 1268282 + ... + 1277718.

It is an arithmetic number, because the mean of its divisors is an integer number (234652275).

Almost surely, 212013301000 is an apocalyptic number.

12013301000 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 12013301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017745600).

12013301000 is an abundant number, since it is smaller than the sum of its proper divisors (18022190200).

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

12013301000 is a wasteful number, since it uses less digits than its factorization.

12013301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 12013301000 its reverse (10331021), we get a palindrome (12023632021).

The spelling of 12013301000 in words is "twelve billion, thirteen million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 125 134 152 190 200 250 268 335 380 475 500 536 670 760 950 1000 1273 1340 1675 1900 2375 2546 2680 3350 3800 4750 5092 6365 6700 8375 9437 9500 10184 12730 13400 16750 18874 19000 25460 31825 33500 37748 47185 50920 63650 67000 75496 94370 127300 159125 179303 188740 235925 254600 318250 358606 377480 471850 632279 636500 717212 896515 943700 1179625 1264558 1273000 1434424 1793030 1887400 2359250 2529116 3161395 3586060 4482575 4718500 5058232 6322790 7172120 8965150 9437000 12013301 12645580 15806975 17930300 22412875 24026602 25291160 31613950 35860600 44825750 48053204 60066505 63227900 79034875 89651500 96106408 120133010 126455800 158069750 179303000 240266020 300332525 316139500 480532040 600665050 632279000 1201330100 1501662625 2402660200 3003325250 6006650500 12013301000