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412025443103130 = 235435334717367167
BaseRepresentation
bin101110110101111000010011…
…0001011001011000110011010
32000000212020200120000202222020
41131223300212023023012122
5413001111101413300010
64020145513035035310
7152533566402522153
oct13553604613130632
92000766616022866
10412025443103130
1110a31401117245a
123a26535b29bb36
13148b9aa91c753c
1473a61d039492a
153297ad9a9b470
hex176bc262cb19a

412025443103130 has 128 divisors (see below), whose sum is σ = 1033920585105408. Its totient is φ = 104989937025792.

The previous prime is 412025443103123. The next prime is 412025443103147. The reversal of 412025443103130 is 31301344520214.

It is a junction number, because it is equal to n+sod(n) for n = 412025443103091 and 412025443103100.

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, 15040807 + ... + 32407973.

It is an arithmetic number, because the mean of its divisors is an integer number (8077504571136).

Almost surely, 2412025443103130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412025443103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516960292552704).

412025443103130 is an abundant number, since it is smaller than the sum of its proper divisors (621895142002278).

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

412025443103130 is a wasteful number, since it uses less digits than its factorization.

412025443103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367620.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 412025443103130 its reverse (31301344520214), we get a palindrome (443326787623344).

The spelling of 412025443103130 in words is "four hundred twelve trillion, twenty-five billion, four hundred forty-three million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 53 86 106 129 159 215 258 265 318 347 430 530 645 694 795 1041 1290 1590 1735 2082 2279 3470 4558 5205 6837 10410 11395 13674 14921 18391 22790 29842 34185 36782 44763 55173 68370 74605 89526 91955 110346 149210 183910 223815 275865 447630 551730 790813 1581626 2372439 3954065 4744878 7908130 11862195 17367167 23724390 34734334 52101501 86835835 104203002 173671670 260507505 521015010 746788181 920459851 1493576362 1840919702 2240364543 2761379553 3733940905 4480729086 4602299255 5522759106 6026406949 7467881810 9204598510 11201822715 12052813898 13806897765 18079220847 22403645430 27613795530 30132034745 36158441694 39579773593 60264069490 79159547186 90396104235 118739320779 180792208470 197898867965 237478641558 259135498807 319399568297 395797735930 518270997614 593696603895 638799136594 777406496421 958198704891 1187393207790 1295677494035 1554812992842 1596997841485 1916397409782 2591354988070 3193995682970 3887032482105 4790993524455 7774064964210 9581987048910 13734181436771 27468362873542 41202544310313 68670907183855 82405088620626 137341814367710 206012721551565 412025443103130