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12441031020 = 22325118375703
BaseRepresentation
bin10111001011000101…
…10001000101101100
31012010000222212011200
423211202301011230
5200434400443040
65414302245500
7620205006315
oct134542610554
935100885150
1012441031020
115304701820
1224b2586890
131233641022
1486042360c
154cc33b630
hex2e58b116c

12441031020 has 144 divisors (see below), whose sum is σ = 41665059072. Its totient is φ = 2979630720.

The previous prime is 12441030977. The next prime is 12441031049. The reversal of 12441031020 is 2013014421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12441030984 and 12441031002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126489 + ... + 202191.

It is an arithmetic number, because the mean of its divisors is an integer number (289340688).

Almost surely, 212441031020 is an apocalyptic number.

12441031020 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 12441031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832529536).

12441031020 is an abundant number, since it is smaller than the sum of its proper divisors (29224028052).

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

12441031020 is a wasteful number, since it uses less digits than its factorization.

12441031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75812 (or 75807 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12441031020 its reverse (2013014421), we get a palindrome (14454045441).

The spelling of 12441031020 in words is "twelve billion, four hundred forty-one million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4565 4980 5478 7470 8217 9130 10956 13695 14940 16434 18260 27390 32868 41085 54780 75703 82170 151406 164340 227109 302812 378515 454218 681327 757030 832733 908436 1135545 1362654 1514060 1665466 2271090 2498199 2725308 3330932 3406635 4163665 4542180 4996398 6283349 6813270 7494597 8327330 9992796 12490995 12566698 13626540 14989194 16654660 18850047 24981990 25133396 29978388 31416745 37472985 37700094 49963980 56550141 62833490 69116839 74945970 75400188 94250235 113100282 125666980 138233678 149891940 188500470 207350517 226200564 276467356 282750705 345584195 377000940 414701034 565501410 622051551 691168390 829402068 1036752585 1131002820 1244103102 1382336780 2073505170 2488206204 3110257755 4147010340 6220515510 12441031020