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1323121220 = 2251728313751
BaseRepresentation
bin100111011011101…
…0011101001000100
310102012200112002122
41032313103221010
510202204334340
6335143025112
744534226161
oct11667235104
93365615078
101323121220
1161995a613
1230b13b198
13181171c85
14c7a1d068
157b25adb5
hex4edd3a44

1323121220 has 48 divisors (see below), whose sum is σ = 2952609408. Its totient is φ = 496320000.

The previous prime is 1323121213. The next prime is 1323121229. The reversal of 1323121220 is 221213231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1323121229) 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, 89345 + ... + 103095.

It is an arithmetic number, because the mean of its divisors is an integer number (61512696).

Almost surely, 21323121220 is an apocalyptic number.

1323121220 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 1323121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476304704).

1323121220 is an abundant number, since it is smaller than the sum of its proper divisors (1629488188).

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

1323121220 is a wasteful number, since it uses less digits than its factorization.

1323121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060 (or 14058 counting only the distinct ones).

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

The square root of 1323121220 is about 36374.7332636268. The cubic root of 1323121220 is about 1097.8252404061.

Adding to 1323121220 its reverse (221213231), we get a palindrome (1544334451).

The spelling of 1323121220 in words is "one billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 283 340 566 1132 1415 2830 4811 5660 9622 13751 19244 24055 27502 48110 55004 68755 96220 137510 233767 275020 467534 935068 1168835 2337670 3891533 4675340 7783066 15566132 19457665 38915330 66156061 77830660 132312122 264624244 330780305 661560610 1323121220