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1123213320 = 233254372559
BaseRepresentation
bin100001011110010…
…1110000000001000
32220021112011000100
41002330232000020
54300020311240
6303242205400
736556104255
oct10274560010
92807464010
101123213320
1152702a879
122741b3860
1314b91a888
14a926242c
156891de30
hex42f2e008

1123213320 has 96 divisors (see below), whose sum is σ = 3735388800. Its totient is φ = 292553856.

The previous prime is 1123213319. The next prime is 1123213361. The reversal of 1123213320 is 233123211.

1123213320 is a `hidden beast` number, since 1 + 12 + 321 + 332 + 0 = 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 = 1123213293 and 1123213302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20800 + ... + 51759.

It is an arithmetic number, because the mean of its divisors is an integer number (38910300).

Almost surely, 21123213320 is an apocalyptic number.

1123213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123213320 is an abundant number, since it is smaller than the sum of its proper divisors (2612175480).

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

1123213320 is a wasteful number, since it uses less digits than its factorization.

1123213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72619 (or 72612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1123213320 is about 33514.3748263338. The cubic root of 1123213320 is about 1039.4910354758.

Adding to 1123213320 its reverse (233123211), we get a palindrome (1356336531).

The spelling of 1123213320 in words is "one billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 72559 145118 217677 290236 362795 435354 580472 653031 725590 870708 1088385 1306062 1451180 1741416 2176770 2612124 2902360 3120037 3265155 4353540 5224248 6240074 6530310 8707080 9360111 12480148 13060620 15600185 18720222 24960296 26121240 28080333 31200370 37440444 46800555 56160666 62400740 74880888 93601110 112321332 124801480 140401665 187202220 224642664 280803330 374404440 561606660 1123213320