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1100320120 = 235431095869
BaseRepresentation
bin100000110010101…
…1000110101111000
32211200110001110001
41001211120311320
54223140220440
6301103402344
736160365244
oct10145306570
92750401401
101100320120
11515113879
122685b33b4
13146c635c3
14a61c3424
15668eab9a
hex41958d78

1100320120 has 64 divisors (see below), whose sum is σ = 2556972000. Its totient is φ = 425875968.

The previous prime is 1100320099. The next prime is 1100320129. The reversal of 1100320120 is 210230011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100320097 and 1100320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100320129) 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, 184546 + ... + 190414.

Almost surely, 21100320120 is an apocalyptic number.

1100320120 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 1100320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278486000).

1100320120 is an abundant number, since it is smaller than the sum of its proper divisors (1456651880).

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

1100320120 is a wasteful number, since it uses less digits than its factorization.

1100320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100320120 is about 33171.0735430736. The cubic root of 1100320120 is about 1032.3802431714.

Adding to 1100320120 its reverse (210230011), we get a palindrome (1310550131).

The spelling of 1100320120 in words is "one billion, one hundred million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 109 172 215 218 344 430 436 545 860 872 1090 1720 2180 4360 4687 5869 9374 11738 18748 23435 23476 29345 37496 46870 46952 58690 93740 117380 187480 234760 252367 504734 639721 1009468 1261835 1279442 2018936 2523670 2558884 3198605 5047340 5117768 6397210 10094680 12794420 25588840 27508003 55016006 110032012 137540015 220064024 275080030 550160060 1100320120