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1100121120 = 253257109139
BaseRepresentation
bin100000110010010…
…1000010000100000
32211200001221110200
41001210220100200
54223112333440
6301055225200
736155606130
oct10144502040
92750057420
101100121120
11514a9830a
12268518200
13146bc3b57
14a6170ac0
15668abc30
hex41928420

1100121120 has 144 divisors (see below), whose sum is σ = 4290511680. Its totient is φ = 251453952.

The previous prime is 1100121107. The next prime is 1100121163. The reversal of 1100121120 is 211210011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44490 + ... + 64649.

It is an arithmetic number, because the mean of its divisors is an integer number (29795220).

Almost surely, 21100121120 is an apocalyptic number.

1100121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121120 is an abundant number, since it is smaller than the sum of its proper divisors (3190390560).

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

1100121120 is a wasteful number, since it uses less digits than its factorization.

1100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109167 (or 109156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100121120 is about 33168.0738059960. The cubic root of 1100121120 is about 1032.3180018742.

Adding to 1100121120 its reverse (211210011), we get a palindrome (1311331131).

The spelling of 1100121120 in words is "one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 109139 218278 327417 436556 545695 654834 763973 873112 982251 1091390 1309668 1527946 1637085 1746224 1964502 2182780 2291919 2619336 3055892 3274170 3492448 3819865 3929004 4365560 4583838 4911255 5238672 6111784 6548340 6875757 7639730 7858008 8731120 9167676 9822510 10477344 11459595 12223568 13096680 13751514 15279460 15716016 17462240 18335352 19645020 22919190 24447136 26193360 27503028 30558920 31432032 34378785 36670704 39290040 45838380 52386720 55006056 61117840 68757570 73341408 78580080 91676760 110012112 122235680 137515140 157160160 183353520 220024224 275030280 366707040 550060560 1100121120