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12040130310 = 23513533131861
BaseRepresentation
bin10110011011010010…
…11100111100000110
31011002002121222210020
423031221130330012
5144124233132220
65310421440010
7604236263505
oct131551347406
934062558706
1012040130310
11511938111a
122400270006
13119b575780
148230a683c
154a704b040
hex2cda5cf06

12040130310 has 128 divisors (see below), whose sum is σ = 31824648576. Its totient is φ = 2896957440.

The previous prime is 12040130309. The next prime is 12040130351. The reversal of 12040130310 is 1303104021.

It is a super-2 number, since 2×120401303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12040130310.

It is a congruent number.

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, 6468780 + ... + 6470640.

It is an arithmetic number, because the mean of its divisors is an integer number (248630067).

Almost surely, 212040130310 is an apocalyptic number.

12040130310 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 12040130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912324288).

12040130310 is an abundant number, since it is smaller than the sum of its proper divisors (19784518266).

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

12040130310 is a wasteful number, since it uses less digits than its factorization.

12040130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12040130310 its reverse (1303104021), we get a palindrome (13343234331).

The spelling of 12040130310 in words is "twelve billion, forty million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 313 318 390 530 626 689 795 939 1378 1565 1590 1861 1878 2067 3130 3445 3722 4069 4134 4695 5583 6890 8138 9305 9390 10335 11166 12207 16589 18610 20345 20670 24193 24414 27915 33178 40690 48386 49767 55830 61035 72579 82945 98633 99534 120965 122070 145158 165890 197266 215657 241930 248835 295899 362895 431314 493165 497670 582493 591798 646971 725790 986330 1078285 1164986 1282229 1293942 1479495 1747479 2156570 2564458 2912465 2958990 3234855 3494958 3846687 5824930 6411145 6469710 7572409 7693374 8737395 12822290 15144818 17474790 19233435 22717227 30872129 37862045 38466870 45434454 61744258 75724090 92616387 113586135 154360645 185232774 227172270 308721290 401337677 463081935 802675354 926163870 1204013031 2006688385 2408026062 4013376770 6020065155 12040130310