Search a number
-
+
1102131310122 = 2322337694710357
BaseRepresentation
bin10000000010011100001…
…001010010111000101010
310220100210102111112120200
4100002130021102320222
5121024131103410442
62202151230533030
7142424561364453
oct20023411227052
93810712445520
101102131310122
11395458434917
12159725667176
137cc1350951b
143b4b458412a
151da07b5034c
hex1009c252e2a

1102131310122 has 96 divisors (see below), whose sum is σ = 2559735914112. Its totient is φ = 341824551552.

The previous prime is 1102131310081. The next prime is 1102131310153. The reversal of 1102131310122 is 2210131312011.

1102131310122 is a `hidden beast` number, since 1 + 102 + 131 + 310 + 122 = 666.

It is a super-2 number, since 2×11021313101222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1102131310095 and 1102131310104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106408968 + ... + 106419324.

It is an arithmetic number, because the mean of its divisors is an integer number (26663915772).

Almost surely, 21102131310122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102131310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279867957056).

1102131310122 is an abundant number, since it is smaller than the sum of its proper divisors (1457604603990).

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

1102131310122 is a wasteful number, since it uses less digits than its factorization.

1102131310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17372 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1102131310122 its reverse (2210131312011), we get a palindrome (3312262622133).

The spelling of 1102131310122 in words is "one trillion, one hundred two billion, one hundred thirty-one million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 6947 7659 10357 13894 15318 20714 20841 31071 41682 62142 62523 93213 125046 159781 186426 238211 257039 319562 383209 476422 479343 514078 714633 766418 771117 958686 1149627 1429266 1438029 1542234 2143899 2299254 2313351 2876058 3448881 4287798 4626702 5911897 6897762 8813807 11823794 17627614 17735691 26441421 35471382 52882842 53207073 71950079 79324263 106414146 143900158 158648526 215850237 431700474 647550711 1295101422 1654851817 2662152923 3309703634 4964555451 5324305846 7986458769 9929110902 14893666353 15972917538 23959376307 29787332706 47918752614 61229517229 122459034458 183688551687 367377103374 551065655061 1102131310122