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1320320100 = 2235211537549
BaseRepresentation
bin100111010110010…
…0111110001100100
310102000102012200110
41032230213301210
510201000220400
6335003013020
744501351511
oct11654476144
93360365613
101320320100
11618317040
1230a20a170
13180700cc8
14c74d0308
157ada5e50
hex4eb27c64

1320320100 has 144 divisors (see below), whose sum is σ = 4246603200. Its totient is φ = 313996800.

The previous prime is 1320320087. The next prime is 1320320107. The reversal of 1320320100 is 10230231.

It is a happy number.

1320320100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1320320107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171126 + ... + 178674.

It is an arithmetic number, because the mean of its divisors is an integer number (29490300).

Almost surely, 21320320100 is an apocalyptic number.

1320320100 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 1320320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123301600).

1320320100 is an abundant number, since it is smaller than the sum of its proper divisors (2926283100).

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

1320320100 is a wasteful number, since it uses less digits than its factorization.

1320320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320320100 is about 36336.2092134003. The cubic root of 1320320100 is about 1097.0499743592.

Adding to 1320320100 its reverse (10230231), we get a palindrome (1330550331).

The spelling of 1320320100 in words is "one billion, three hundred twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7549 7950 8745 11660 14575 15098 15900 17490 22647 29150 30196 34980 37745 43725 45294 58300 75490 83039 87450 90588 113235 150980 166078 174900 188725 226470 249117 332156 377450 400097 415195 452940 498234 566175 754900 800194 830390 996468 1132350 1200291 1245585 1600388 1660780 2000485 2075975 2264700 2400582 2491170 4000970 4151950 4401067 4801164 4982340 6001455 6227925 8001940 8303900 8802134 10002425 12002910 12455850 13203201 17604268 20004850 22005335 24005820 24911700 26406402 30007275 40009700 44010670 52812804 60014550 66016005 88021340 110026675 120029100 132032010 220053350 264064020 330080025 440106700 660160050 1320320100