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1102840226244 = 223218129672
BaseRepresentation
bin10000000011000110011…
…001100110000111000100
310220102121211110012200100
4100003012121212013010
5121032104044214434
62202345433244100
7142451260152351
oct20030631460704
93812554405610
101102840226244
11395791614009
121598a2b63630
137ccc734b013
143b54079d628
151da49ed4699
hex100c66661c4

1102840226244 has 81 divisors (see below), whose sum is σ = 2806123843341. Its totient is φ = 365204337120.

The previous prime is 1102840226221. The next prime is 1102840226273. The reversal of 1102840226244 is 4426220482011.

The square root of 1102840226244 is 1050162.

It is a perfect power (a square), and thus also a powerful number.

1102840226244 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 8 + 4 + 0 + 22 + 624 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12152416644 + 1090687809600 = 110238^2 + 1044360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1102840226199 and 1102840226208.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1140475449 + ... + 1140476415.

Almost surely, 21102840226244 is an apocalyptic number.

1102840226244 is the 1050162-nd square number.

It is an amenable number.

1102840226244 is an abundant number, since it is smaller than the sum of its proper divisors (1703283617097).

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

1102840226244 is an frugal number, since it uses more digits than its factorization.

1102840226244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 1102840226244 by its sum of digits (36), we get a square (39702248144784 = 63009722).

1102840226244 divided by its sum of digits (36) gives a square (30634450729 = 1750272).

The spelling of 1102840226244 in words is "one trillion, one hundred two billion, eight hundred forty million, two hundred twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 967 1086 1629 1934 2172 2901 3258 3868 5802 6516 8703 11604 17406 32761 34812 65522 98283 131044 175027 196566 294849 350054 393132 525081 589698 700108 935089 1050162 1179396 1575243 1870178 2100324 2805267 3150486 3740356 5610534 6300972 8415801 11221068 16831602 31679887 33663204 63359774 95039661 126719548 169251109 190079322 285118983 338502218 380158644 507753327 570237966 677004436 1015506654 1140475932 1523259981 2031013308 3046519962 6093039924 30634450729 61268901458 91903352187 122537802916 183806704374 275710056561 367613408748 551420113122 1102840226244