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1102351120 = 245131955787
BaseRepresentation
bin100000110110100…
…1000101100010000
32211211021020110021
41001231020230100
54224200213440
6301215113224
736213554443
oct10155105420
92754236407
101102351120
11516280792
12269212814
131474c4b90
14a659165a
1566b9c84a
hex41b48b10

1102351120 has 80 divisors (see below), whose sum is σ = 2905439040. Its totient is φ = 385592832.

The previous prime is 1102351099. The next prime is 1102351123. The reversal of 1102351120 is 211532011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1102351094 and 1102351103.

It is not an unprimeable number, because it can be changed into a prime (1102351123) 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, 8134 + ... + 47653.

It is an arithmetic number, because the mean of its divisors is an integer number (36317988).

Almost surely, 21102351120 is an apocalyptic number.

1102351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102351120 is an abundant number, since it is smaller than the sum of its proper divisors (1803087920).

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

1102351120 is a wasteful number, since it uses less digits than its factorization.

1102351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55832 (or 55826 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1102351120 is about 33201.6734518006. The cubic root of 1102351120 is about 1033.0150510089.

Adding to 1102351120 its reverse (211532011), we get a palindrome (1313883131).

The spelling of 1102351120 in words is "one billion, one hundred two million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 55787 111574 223148 278935 446296 557870 725231 892592 1059953 1115740 1450462 2119906 2231480 2900924 3626155 4239812 4462960 5299765 5801848 7252310 8479624 10599530 11603696 13779389 14504620 16959248 21199060 27558778 29009240 42398120 55117556 58018480 68896945 84796240 110235112 137793890 220470224 275587780 551175560 1102351120