Search a number
-
+
103420043310 = 23529598572351
BaseRepresentation
bin110000001010001010…
…0001010000000101110
3100212221112001112200110
41200110110022000232
53143301012341220
6115302134240450
710320562602153
oct1402424120056
9325845045613
10103420043310
113a950a11281
12180631b6126
1399a22325cc
14501136822a
152a54600be0
hex181450a02e

103420043310 has 128 divisors (see below), whose sum is σ = 261534873600. Its totient is φ = 26134707200.

The previous prime is 103420043227. The next prime is 103420043323. The reversal of 103420043310 is 13340024301.

It is a super-2 number, since 2×1034200433102 (a number of 23 digits) contains 22 as substring.

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, 43988635 + ... + 43990985.

It is an arithmetic number, because the mean of its divisors is an integer number (2043241200).

Almost surely, 2103420043310 is an apocalyptic number.

103420043310 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 103420043310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130767436800).

103420043310 is an abundant number, since it is smaller than the sum of its proper divisors (158114830290).

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

103420043310 is a wasteful number, since it uses less digits than its factorization.

103420043310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103420043310 its reverse (13340024301), we get a palindrome (116760067611).

The spelling of 103420043310 in words is "one hundred three billion, four hundred twenty million, forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 174 177 290 295 354 435 590 857 870 885 1711 1714 1770 2351 2571 3422 4285 4702 5133 5142 7053 8555 8570 10266 11755 12855 14106 17110 23510 24853 25665 25710 35265 49706 50563 51330 68179 70530 74559 101126 124265 136358 138709 149118 151689 204537 248530 252815 277418 303378 340895 372795 409074 416127 505630 681790 693545 745590 758445 832254 1022685 1387090 1466327 1516890 2014807 2045370 2080635 2932654 4022561 4029614 4161270 4398981 6044421 7331635 8045122 8797962 10074035 12067683 12088842 14663270 20112805 20148070 21994905 24135366 30222105 40225610 43989810 58429403 60338415 60444210 116858806 118873613 120676830 175288209 237747226 292147015 350576418 356620839 584294030 594368065 713241678 876441045 1188736130 1752882090 1783104195 3447334777 3566208390 6894669554 10342004331 17236673885 20684008662 34473347770 51710021655 103420043310