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1100002120 = 23574195819
BaseRepresentation
bin100000110010000…
…1011001101001000
32211122211220020021
41001210023031020
54223100031440
6301052510224
736154602160
oct10144131510
92748756207
101100002120
11514a16968
1226847b374
13146b81939
14a613d5a0
156688684a
hex4190b348

1100002120 has 64 divisors (see below), whose sum is σ = 2897596800. Its totient is φ = 367941120.

The previous prime is 1100002097. The next prime is 1100002129. The reversal of 1100002120 is 212000011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1100002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36430 + ... + 59389.

It is an arithmetic number, because the mean of its divisors is an integer number (45274950).

Almost surely, 21100002120 is an apocalyptic number.

1100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100002120 is an abundant number, since it is smaller than the sum of its proper divisors (1797594680).

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

1100002120 is a wasteful number, since it uses less digits than its factorization.

1100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95878 (or 95874 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1100002120 is about 33166.2798637411. The cubic root of 1100002120 is about 1032.2807786177.

Adding to 1100002120 its reverse (212000011), we get a palindrome (1312002131).

The spelling of 1100002120 in words is "one billion, one hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 95819 191638 383276 479095 670733 766552 958190 1341466 1916380 2682932 3353665 3832760 3928579 5365864 6707330 7857158 13414660 15714316 19642895 26829320 27500053 31428632 39285790 55000106 78571580 110000212 137500265 157143160 220000424 275000530 550001060 1100002120