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1320323100 = 223527161987
BaseRepresentation
bin100111010110010…
…1000100000011100
310102000102100210120
41032230220200130
510201000314400
6335003034540
744501363325
oct11654504034
93360370716
101320323100
11618319318
1230a20ba50
13180702495
14c74d144c
157ada6ca0
hex4eb2881c

1320323100 has 72 divisors (see below), whose sum is σ = 3874002048. Its totient is φ = 347121600.

The previous prime is 1320323023. The next prime is 1320323141. The reversal of 1320323100 is 13230231.

It is a super-2 number, since 2×13203231002 = 3486506176787220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320323100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9694 + ... + 52293.

It is an arithmetic number, because the mean of its divisors is an integer number (53805584).

Almost surely, 21320323100 is an apocalyptic number.

1320323100 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 1320323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937001024).

1320323100 is an abundant number, since it is smaller than the sum of its proper divisors (2553678948).

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

1320323100 is a wasteful number, since it uses less digits than its factorization.

1320323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62075 (or 62068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1320323100 is about 36336.2504945131. The cubic root of 1320323100 is about 1097.0508052555.

Adding to 1320323100 its reverse (13230231), we get a palindrome (1333553331).

The spelling of 1320323100 in words is "one billion, three hundred twenty million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 61987 123974 185961 247948 309935 371922 619870 743844 929805 1239740 1549675 1859610 3099350 3719220 4401077 4649025 6198700 8802154 9298050 13203231 17604308 18596100 22005385 26406462 44010770 52812924 66016155 88021540 110026925 132032310 220053850 264064620 330080775 440107700 660161550 1320323100