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1123223303120 = 24541349981221
BaseRepresentation
bin10000010110000101010…
…100110111001111010000
310222101020100210210121112
4100112011110313033100
5121400330131144440
62220000205312452
7144102343355432
oct20260524671720
93871210723545
101123223303120
113a33a12aa396
12161831265728
1381bc51c0459
143c5158c2652
151e33e6be965
hex105855373d0

1123223303120 has 80 divisors (see below), whose sum is σ = 2682857192400. Its totient is φ = 437074636800.

The previous prime is 1123223303113. The next prime is 1123223303129. The reversal of 1123223303120 is 213033223211.

It can be written as a sum of positive squares in 8 ways, for example, as 4798609984 + 1118424693136 = 69272^2 + 1057556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123223303129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654110 + ... + 1635330.

It is an arithmetic number, because the mean of its divisors is an integer number (33535714905).

Almost surely, 21123223303120 is an apocalyptic number.

1123223303120 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 1123223303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341428596200).

1123223303120 is an abundant number, since it is smaller than the sum of its proper divisors (1559633889280).

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

1123223303120 is a wasteful number, since it uses less digits than its factorization.

1123223303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981624 (or 981618 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1123223303120 its reverse (213033223211), we get a palindrome (1336256526331).

The spelling of 1123223303120 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 349 410 656 698 820 1396 1640 1745 2792 3280 3490 5584 6980 13960 14309 27920 28618 57236 71545 114472 143090 228944 286180 572360 981221 1144720 1962442 3924884 4906105 7849768 9812210 15699536 19624420 39248840 40230061 78497680 80460122 160920244 201150305 321840488 342446129 402300610 643680976 684892258 804601220 1369784516 1609202440 1712230645 2739569032 3218404880 3424461290 5479138064 6848922580 13697845160 14040291289 27395690320 28080582578 56161165156 70201456445 112322330312 140402912890 224644660624 280805825780 561611651560 1123223303120