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1100123220 = 223573770793
BaseRepresentation
bin100000110010010…
…1000110001010100
32211200002001100110
41001210220301110
54223112420340
6301055243020
736155615220
oct10144506124
92750061313
101100123220
11514a99949
12268519470
13146bc4ab1
14a6171780
15668ac680
hex41928c54

1100123220 has 96 divisors (see below), whose sum is σ = 3615591168. Its totient is φ = 244657152.

The previous prime is 1100123191. The next prime is 1100123221. The reversal of 1100123220 is 223210011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100123196 and 1100123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100123221) 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 31 ways as a sum of consecutive naturals, for example, 19857 + ... + 50936.

It is an arithmetic number, because the mean of its divisors is an integer number (37662408).

Almost surely, 21100123220 is an apocalyptic number.

1100123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100123220 is an abundant number, since it is smaller than the sum of its proper divisors (2515467948).

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

1100123220 is a wasteful number, since it uses less digits than its factorization.

1100123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70849 (or 70847 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1100123220 is about 33168.1054629293. The cubic root of 1100123220 is about 1032.3186587311.

Adding to 1100123220 its reverse (223210011), we get a palindrome (1323333231).

The spelling of 1100123220 in words is "one billion, one hundred million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 70793 141586 212379 283172 353965 424758 495551 707930 849516 991102 1061895 1415860 1486653 1982204 2123790 2477755 2619341 2973306 4247580 4955510 5238682 5946612 7433265 7858023 9911020 10477364 13096705 14866530 15716046 18335387 26193410 29733060 31432092 36670774 39290115 52386820 55006161 73341548 78580230 91676935 110012322 157160460 183353870 220024644 275030805 366707740 550061610 1100123220