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1100450120 = 2357111721017
BaseRepresentation
bin100000110010111…
…1000100101001000
32211200200122202212
41001211320211020
54223203400440
6301110244252
736161446250
oct10145704510
92750618685
101100450120
115151a2510
12268656688
13146caa823
14a6218960
1566924465
hex41978948

1100450120 has 128 divisors (see below), whose sum is σ = 3268719360. Its totient is φ = 322805760.

The previous prime is 1100450119. The next prime is 1100450179. The reversal of 1100450120 is 210540011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1100450095 and 1100450104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41852 + ... + 62868.

It is an arithmetic number, because the mean of its divisors is an integer number (25536870).

Almost surely, 21100450120 is an apocalyptic number.

1100450120 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 1100450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634359680).

1100450120 is an abundant number, since it is smaller than the sum of its proper divisors (2168269240).

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

1100450120 is a wasteful number, since it uses less digits than its factorization.

1100450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21063 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1100450120 is about 33173.0330238283. The cubic root of 1100450120 is about 1032.4208992630.

Adding to 1100450120 its reverse (210540011), we get a palindrome (1310990131).

The spelling of 1100450120 in words is "one billion, one hundred million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 2380 2618 3080 3740 4760 5236 6545 7480 10472 13090 21017 26180 42034 52360 84068 105085 147119 168136 210170 231187 294238 357289 420340 462374 588476 714578 735595 840680 924748 1155935 1176952 1429156 1471190 1618309 1786445 1849496 2311870 2501023 2858312 2942380 3236618 3572890 3930179 4623740 5002046 5884760 6473236 7145780 7860358 8091545 9247480 10004092 12505115 12946472 14291560 15720716 16183090 19650895 20008184 25010230 27511253 31441432 32366180 39301790 50020460 55022506 64732360 78603580 100040920 110045012 137556265 157207160 220090024 275112530 550225060 1100450120