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1102122131220 = 2232511599929261
BaseRepresentation
bin10000000010011011100…
…110010001111100010100
310220100202210020012111100
4100002123212101330110
5121024121231144340
62202150302110100
7142424420355015
oct20023346217424
93810683205440
101102122131220
11395453235650
1215972257b330
137cc11644616
143b4b327500c
151da06e3a830
hex1009b991f14

1102122131220 has 144 divisors (see below), whose sum is σ = 3653114774400. Its totient is φ = 266734790400.

The previous prime is 1102122131137. The next prime is 1102122131239. The reversal of 1102122131220 is 221312212011.

1102122131220 is a `hidden beast` number, since 110 + 2 + 1 + 221 + 312 + 20 = 666.

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 = 1102122131193 and 1102122131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721390 + ... + 1650650.

It is an arithmetic number, because the mean of its divisors is an integer number (25368852600).

Almost surely, 21102122131220 is an apocalyptic number.

1102122131220 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 1102122131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826557387200).

1102122131220 is an abundant number, since it is smaller than the sum of its proper divisors (2550992643180).

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

1102122131220 is a wasteful number, since it uses less digits than its factorization.

1102122131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929886 (or 929881 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102122131220 its reverse (221312212011), we get a palindrome (1323434343231).

The spelling of 1102122131220 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 599 660 990 1198 1797 1980 2396 2995 3594 5391 5990 6589 7188 8985 10782 11980 13178 17970 19767 21564 26356 26955 32945 35940 39534 53910 59301 65890 79068 98835 107820 118602 131780 197670 237204 296505 395340 593010 929261 1186020 1858522 2787783 3717044 4646305 5575566 8363349 9292610 10221871 11151132 13938915 16726698 18585220 20443742 27877830 30665613 33453396 40887484 41816745 51109355 55755660 61331226 83633490 91996839 102218710 122662452 153328065 167266980 183993678 204437420 306656130 367987356 459984195 556627339 613312260 919968390 1113254678 1669882017 1839936780 2226509356 2783136695 3339764034 5009646051 5566273390 6122900729 6679528068 8349410085 10019292102 11132546780 12245801458 16698820170 18368702187 20038584204 24491602916 25048230255 30614503645 33397640340 36737404374 50096460510 55106106561 61229007290 73474808748 91843510935 100192921020 110212213122 122458014580 183687021870 220424426244 275530532805 367374043740 551061065610 1102122131220