Search a number
-
+
104141311233420 = 223510141941014403
BaseRepresentation
bin10111101011011101001001…
…110111001100110110001100
3111122201210221001000200001210
4113223131021313030312030
5102122222401133432140
61005253505150534420
730635650526622546
oct2753351167146614
9448653831020053
10104141311233420
113020109a261a6a
12b81b34a507410
134615639372716
141ba0675986696
15c08e4b659d80
hex5eb749dccd8c

104141311233420 has 96 divisors (see below), whose sum is σ = 295185587316480. Its totient is φ = 27430432057600.

The previous prime is 104141311233413. The next prime is 104141311233437. The reversal of 104141311233420 is 24332113141401.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17968062 + ... + 23046341.

It is an arithmetic number, because the mean of its divisors is an integer number (3074849867880).

Almost surely, 2104141311233420 is an apocalyptic number.

104141311233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104141311233420 is an abundant number, since it is smaller than the sum of its proper divisors (191044276083060).

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

104141311233420 is a wasteful number, since it uses less digits than its factorization.

104141311233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41014935 (or 41014933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 104141311233420 its reverse (24332113141401), we get a palindrome (128473424374821).

It can be divided in two parts, 10414131 and 1233420, that added together give a triangular number (11647551 = T4826).

The spelling of 104141311233420 in words is "one hundred four trillion, one hundred forty-one billion, three hundred eleven million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 419 505 606 838 1010 1212 1257 1515 1676 2020 2095 2514 3030 4190 5028 6060 6285 8380 12570 25140 42319 84638 126957 169276 211595 253914 423190 507828 634785 846380 1269570 2539140 41014403 82028806 123043209 164057612 205072015 246086418 410144030 492172836 615216045 820288060 1230432090 2460864180 4142454703 8284909406 12427364109 16569818812 17185034857 20712273515 24854728218 34370069714 41424547030 49709456436 51555104571 62136820545 68740139428 82849094060 85925174285 103110209142 124273641090 171850348570 206220418284 248547282180 257775522855 343700697140 515551045710 1031102091420 1735688520557 3471377041114 5207065561671 6942754082228 8678442602785 10414131123342 17356885205570 20828262246684 26035327808355 34713770411140 52070655616710 104141311233420