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1323112122 = 232237145013
BaseRepresentation
bin100111011011101…
…0001011010111010
310102012200001121200
41032313101122322
510202204041442
6335142515030
744534160513
oct11667213272
93365601550
101323112122
116199537a2
1230b135a76
1318116aaa7
14c7a19a0a
157b25834c
hex4edd16ba

1323112122 has 48 divisors (see below), whose sum is σ = 3033583488. Its totient is φ = 415910880.

The previous prime is 1323112121. The next prime is 1323112123. The reversal of 1323112122 is 2212113231.

It is an interprime number because it is at equal distance from previous prime (1323112121) and next prime (1323112123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1323112095 and 1323112104.

It is not an unprimeable number, because it can be changed into a prime (1323112121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6888 + ... + 51900.

It is an arithmetic number, because the mean of its divisors is an integer number (63199656).

Almost surely, 21323112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516791744).

1323112122 is an abundant number, since it is smaller than the sum of its proper divisors (1710471366).

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

1323112122 is a wasteful number, since it uses less digits than its factorization.

1323112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45115 (or 45112 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1323112122 is about 36374.6082040755. The cubic root of 1323112122 is about 1097.8227241244.

Adding to 1323112122 its reverse (2212113231), we get a palindrome (3535225353).

The spelling of 1323112122 in words is "one billion, three hundred twenty-three million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 71 138 142 207 213 414 426 639 1278 1633 3266 4899 9798 14697 29394 45013 90026 135039 270078 405117 810234 1035299 2070598 3105897 3195923 6211794 6391846 9317691 9587769 18635382 19175538 28763307 57526614 73506229 147012458 220518687 441037374 661556061 1323112122