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1323111311120 = 24547513481139
BaseRepresentation
bin10011010000001111100…
…101000110011100010000
311200111011220100200222002
4103100033211012130100
5133134212443423440
62451455015133132
7164406634403234
oct23201745063420
94614156320862
101323111311120
11470145929315
121945173741a8
13979cc25a671
1448078b705c4
152463cdc1115
hex1340f946710

1323111311120 has 40 divisors (see below), whose sum is σ = 3076882174080. Its totient is φ = 529132976000.

The previous prime is 1323111311107. The next prime is 1323111311141. The reversal of 1323111311120 is 211131113231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13231113111202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1323111311092 and 1323111311101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360490 + ... + 2120649.

It is an arithmetic number, because the mean of its divisors is an integer number (76922054352).

Almost surely, 21323111311120 is an apocalyptic number.

1323111311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323111311120 is an abundant number, since it is smaller than the sum of its proper divisors (1753770862960).

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

1323111311120 is a wasteful number, since it uses less digits than its factorization.

1323111311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485903 (or 3485897 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1323111311120 its reverse (211131113231), we get a palindrome (1534242424351).

The spelling of 1323111311120 in words is "one trillion, three hundred twenty-three billion, one hundred eleven million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4751 9502 19004 23755 38008 47510 76016 95020 190040 380080 3481139 6962278 13924556 17405695 27849112 34811390 55698224 69622780 139245560 278491120 16538891389 33077782778 66155565556 82694456945 132311131112 165388913890 264622262224 330777827780 661555655560 1323111311120