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1102002320 = 245294331097
BaseRepresentation
bin100000110101111…
…0011100010010000
32211210121111222202
41001223303202100
54224103033240
6301203422332
736210602516
oct10153634220
92753544882
101102002320
11516062721
122690849a8
131474021a3
14a65004b6
1566b2e315
hex41af3890

1102002320 has 80 divisors (see below), whose sum is σ = 2659048560. Its totient is φ = 424230912.

The previous prime is 1102002301. The next prime is 1102002331. The reversal of 1102002320 is 232002011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 160985344 + 941016976 = 12688^2 + 30676^2 .

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

It is a super-2 number, since 2×11020023202 = 2428818226570764800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004012 + ... + 1005108.

It is an arithmetic number, because the mean of its divisors is an integer number (33238107).

Almost surely, 21102002320 is an apocalyptic number.

1102002320 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 1102002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329524280).

1102002320 is an abundant number, since it is smaller than the sum of its proper divisors (1557046240).

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

1102002320 is a wasteful number, since it uses less digits than its factorization.

1102002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1102002320 is about 33196.4202889408. The cubic root of 1102002320 is about 1032.9060858304.

Adding to 1102002320 its reverse (232002011), we get a palindrome (1334004331).

The spelling of 1102002320 in words is "one billion, one hundred two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 433 464 580 866 1097 1160 1732 2165 2194 2320 3464 4330 4388 5485 6928 8660 8776 10970 12557 17320 17552 21940 25114 31813 34640 43880 50228 62785 63626 87760 100456 125570 127252 159065 200912 251140 254504 318130 475001 502280 509008 636260 950002 1004560 1272520 1900004 2375005 2545040 3800008 4750010 7600016 9500020 13775029 19000040 27550058 38000080 55100116 68875145 110200232 137750290 220400464 275500580 551001160 1102002320