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1231221320 = 23577955661
BaseRepresentation
bin100100101100010…
…1111001001001000
310011210202112010122
41021120233021020
510010143040240
6322101202412
742340131350
oct11130571110
93153675118
101231221320
11581aa088a
122a4400408
13168106334
14b9739b60
15731564b5
hex4962f248

1231221320 has 64 divisors (see below), whose sum is σ = 3206131200. Its totient is φ = 416782080.

The previous prime is 1231221317. The next prime is 1231221359. The reversal of 1231221320 is 231221321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5711 + ... + 49950.

It is an arithmetic number, because the mean of its divisors is an integer number (50095800).

Almost surely, 21231221320 is an apocalyptic number.

1231221320 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 1231221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603065600).

1231221320 is an abundant number, since it is smaller than the sum of its proper divisors (1974909880).

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

1231221320 is a wasteful number, since it uses less digits than its factorization.

1231221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55758 (or 55754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1231221320 is about 35088.7634435869. The cubic root of 1231221320 is about 1071.7957791156.

Adding to 1231221320 its reverse (231221321), we get a palindrome (1462442641).

Subtracting from 1231221320 its reverse (231221321), we obtain a palindrome (999999999).

The spelling of 1231221320 in words is "one billion, two hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120 55661 111322 222644 278305 389627 445288 556610 779254 1113220 1558508 1948135 2226440 3117016 3896270 4397219 7792540 8794438 15585080 17588876 21986095 30780533 35177752 43972190 61561066 87944380 123122132 153902665 175888760 246244264 307805330 615610660 1231221320