Search a number
-
+
12013100040 = 2335414335639
BaseRepresentation
bin10110011000000100…
…10101110000001000
31011000012202201020010
423030002111300020
5144100323200130
65304014231520
7603460444164
oct131402256010
934005681203
1012013100040
115105099957
1223b31b55a0
131195aa0426
1481d66bca4
154a49ac0b0
hex2cc095c08

12013100040 has 128 divisors (see below), whose sum is σ = 37010131200. Its totient is φ = 3117588480.

The previous prime is 12013100039. The next prime is 12013100051. The reversal of 12013100040 is 4000131021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12013099989 and 12013100025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127541 + ... + 2133179.

It is an arithmetic number, because the mean of its divisors is an integer number (289141650).

Almost surely, 212013100040 is an apocalyptic number.

12013100040 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 12013100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505065600).

12013100040 is an abundant number, since it is smaller than the sum of its proper divisors (24997031160).

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

12013100040 is a wasteful number, since it uses less digits than its factorization.

12013100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12013100040 its reverse (4000131021), we get a palindrome (16013231061).

The spelling of 12013100040 in words is "twelve billion, thirteen million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 433 492 615 820 866 984 1230 1299 1640 1732 2165 2460 2598 3464 4330 4920 5196 5639 6495 8660 10392 11278 12990 16917 17320 17753 22556 25980 28195 33834 35506 45112 51960 53259 56390 67668 71012 84585 88765 106518 112780 135336 142024 169170 177530 213036 225560 231199 266295 338340 355060 426072 462398 532590 676680 693597 710120 924796 1065180 1155995 1387194 1849592 2130360 2311990 2441687 2774388 3467985 4623980 4883374 5548776 6935970 7325061 9247960 9766748 12208435 13871940 14650122 19533496 24416870 27743880 29300244 36625305 48833740 58600488 73250610 97667480 100109167 146501220 200218334 293002440 300327501 400436668 500545835 600655002 800873336 1001091670 1201310004 1501637505 2002183340 2402620008 3003275010 4004366680 6006550020 12013100040