Search a number
-
+
103122021220 = 22523432263461
BaseRepresentation
bin110000000001010001…
…1010010101101100100
3100212011202021110020021
41200002203102231210
53142143214134340
6115212410444524
710310313501121
oct1400243225544
9325152243207
10103122021220
113a808768929
1217b9b433744
139955577b8a
144dc394b748
152a38382e4a
hex18028d2b64

103122021220 has 144 divisors (see below), whose sum is σ = 232732507392. Its totient is φ = 38308005120.

The previous prime is 103122021193. The next prime is 103122021229. The reversal of 103122021220 is 22120221301.

It is a happy number.

It is a super-3 number, since 3×1031220212203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103122021194 and 103122021203.

It is not an unprimeable number, because it can be changed into a prime (103122021229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223691790 + ... + 223692250.

It is an arithmetic number, because the mean of its divisors is an integer number (1616197968).

Almost surely, 2103122021220 is an apocalyptic number.

103122021220 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 103122021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116366253696).

103122021220 is an abundant number, since it is smaller than the sum of its proper divisors (129610486172).

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

103122021220 is a wasteful number, since it uses less digits than its factorization.

103122021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103122021220 its reverse (22120221301), we get a palindrome (125242242521).

The spelling of 103122021220 in words is "one hundred three billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 263 430 460 461 526 860 922 989 1052 1315 1844 1849 1978 2305 2630 3698 3956 4610 4945 5260 6049 7396 9220 9245 9890 10603 11309 12098 18490 19780 19823 21206 22618 24196 30245 36980 39646 42412 42527 45236 53015 56545 60490 79292 85054 99115 106030 113090 120980 121243 170108 198230 212060 212635 226180 242486 260107 396460 425270 455929 484972 486287 520214 606215 850540 852389 911858 972574 1040428 1212430 1300535 1704778 1823716 1945148 2279645 2424860 2431435 2601070 2788589 3409556 4261945 4559290 4862870 5202140 5213449 5577178 8523890 9118580 9725740 10426898 11154356 11184601 13942945 17047780 19604947 20853796 22369202 26067245 27885890 39209894 44738404 52134490 55771780 55923005 78419788 98024735 104268980 111846010 119909327 196049470 223692020 224178307 239818654 392098940 448356614 479637308 599546635 896713228 1120891535 1199093270 2241783070 2398186540 4483566140 5156101061 10312202122 20624404244 25780505305 51561010610 103122021220