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1102195120 = 245134722549
BaseRepresentation
bin100000110110010…
…0010100110110000
32211210222022110111
41001230202212300
54224130220440
6301211511104
736212334565
oct10154424660
92753868414
101102195120
11516184564
12269158494
1314746bb80
14a655086c
1566b6b4ea
hex41b229b0

1102195120 has 80 divisors (see below), whose sum is σ = 2818569600. Its totient is φ = 398287872.

The previous prime is 1102195067. The next prime is 1102195147. The reversal of 1102195120 is 215912011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102195091 and 1102195100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37606 + ... + 60154.

It is an arithmetic number, because the mean of its divisors is an integer number (35232120).

Almost surely, 21102195120 is an apocalyptic number.

1102195120 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 1102195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409284800).

1102195120 is an abundant number, since it is smaller than the sum of its proper divisors (1716374480).

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

1102195120 is a wasteful number, since it uses less digits than its factorization.

1102195120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22622 (or 22616 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 1102195120 is about 33199.3240895052. The cubic root of 1102195120 is about 1032.9663194243.

The spelling of 1102195120 in words is "one billion, one hundred two million, one hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4888 6110 9776 12220 22549 24440 45098 48880 90196 112745 180392 225490 293137 360784 450980 586274 901960 1059803 1172548 1465685 1803920 2119606 2345096 2931370 4239212 4690192 5299015 5862740 8478424 10598030 11725480 13777439 16956848 21196060 23450960 27554878 42392120 55109756 68887195 84784240 110219512 137774390 220439024 275548780 551097560 1102195120