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1243213320 = 2335193714737
BaseRepresentation
bin100101000011001…
…1110111000001000
310012122022210001210
41022012132320020
510021230311240
6323210213120
742544065426
oct11206367010
93178283053
101243213320
11588841628
122a84241a0
1316a7447ab
14bb17c116
1574224780
hex4a19ee08

1243213320 has 128 divisors (see below), whose sum is σ = 4032316800. Its totient is φ = 305565696.

The previous prime is 1243213241. The next prime is 1243213327. The reversal of 1243213320 is 233123421.

It is not an unprimeable number, because it can be changed into a prime (1243213327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76992 + ... + 91728.

It is an arithmetic number, because the mean of its divisors is an integer number (31502475).

Almost surely, 21243213320 is an apocalyptic number.

1243213320 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 1243213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016158400).

1243213320 is an abundant number, since it is smaller than the sum of its proper divisors (2789103480).

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

1243213320 is a wasteful number, since it uses less digits than its factorization.

1243213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14807 (or 14803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1243213320 is about 35259.2302808782. The cubic root of 1243213320 is about 1075.2642782730.

Adding to 1243213320 its reverse (233123421), we get a palindrome (1476336741).

It can be divided in two parts, 12432 and 13320, that added together give a palindrome (25752).

The spelling of 1243213320 in words is "one billion, two hundred forty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 14737 16872 21090 28120 29474 42180 44211 58948 73685 84360 88422 117896 147370 176844 221055 280003 294740 353688 442110 545269 560006 589480 840009 884220 1090538 1120012 1400015 1635807 1680018 1768440 2181076 2240024 2726345 2800030 3271614 3360036 4200045 4362152 5452690 5600060 6543228 6720072 8179035 8400090 10360111 10905380 11200120 13086456 16358070 16800180 20720222 21810760 31080333 32716140 33600360 41440444 51800555 62160666 65432280 82880888 103601110 124321332 155401665 207202220 248642664 310803330 414404440 621606660 1243213320