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13305442820 = 2255973831861
BaseRepresentation
bin11000110010001000…
…01111001000000100
31021100021112112020112
430121010033020010
5204222143132240
610040141452152
7650502253325
oct143104171004
937307475215
1013305442820
11570863713a
1226b3b71058
131340756cb7
1490315844c
1552d188665
hex31910f204

13305442820 has 96 divisors (see below), whose sum is σ = 29166963840. Its totient is φ = 5095388160.

The previous prime is 13305442811. The next prime is 13305442859. The reversal of 13305442820 is 2824450331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7148690 + ... + 7150550.

It is an arithmetic number, because the mean of its divisors is an integer number (303822540).

Almost surely, 213305442820 is an apocalyptic number.

13305442820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305442820 is an abundant number, since it is smaller than the sum of its proper divisors (15861521020).

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

13305442820 is a wasteful number, since it uses less digits than its factorization.

13305442820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 13305442820 in words is "thirteen billion, three hundred five million, four hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 59 73 83 118 146 166 236 292 295 332 365 415 590 730 830 1180 1460 1660 1861 3722 4307 4897 6059 7444 8614 9305 9794 12118 17228 18610 19588 21535 24236 24485 30295 37220 43070 48970 60590 86140 97940 109799 121180 135853 154463 219598 271706 308926 357481 439196 543412 548995 617852 679265 714962 772315 1097990 1358530 1429924 1544630 1787405 2195980 2717060 3089260 3574810 7149620 8015327 9113317 11275799 16030654 18226634 22551598 32061308 36453268 40076635 45103196 45566585 56378995 80153270 91133170 112757990 160306540 182266340 225515980 665272141 1330544282 2661088564 3326360705 6652721410 13305442820