Search a number
-
+
102120220120 = 23543437313577
BaseRepresentation
bin101111100011011010…
…1101110010111011000
3100202120221012200110211
41133012311232113120
53133120234020440
6114525142420504
710243430356162
oct1370665562730
9322527180424
10102120220120
113a344224936
121795ba31734
139825b59c69
144d2a891932
1529ca447eea
hex17c6d6e5d8

102120220120 has 64 divisors (see below), whose sum is σ = 235185081120. Its totient is φ = 39886070784.

The previous prime is 102120220093. The next prime is 102120220207. The reversal of 102120220120 is 21022021201.

It is a happy number.

102120220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102120220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7514772 + ... + 7528348.

Almost surely, 2102120220120 is an apocalyptic number.

102120220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120220120 is an abundant number, since it is smaller than the sum of its proper divisors (133064861000).

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

102120220120 is a wasteful number, since it uses less digits than its factorization.

102120220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102120220120 its reverse (21022021201), we get a palindrome (123142241321).

The spelling of 102120220120 in words is "one hundred two billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 4373 8746 13577 17492 21865 27154 34984 43730 54308 67885 87460 108616 135770 174920 188039 271540 376078 543080 583811 752156 940195 1167622 1504312 1880390 2335244 2919055 3760780 4670488 5838110 7521560 11676220 23352440 59372221 118744442 237488884 296861105 474977768 593722210 1187444420 2374888840 2553005503 5106011006 10212022012 12765027515 20424044024 25530055030 51060110060 102120220120