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3135516930 = 2325713382847
BaseRepresentation
bin1011101011100100…
…0011000100000010
322002112000202121200
42322321003010002
522410143020210
61235045002030
7140462311530
oct27271030402
98075022550
103135516930
111369a10307
127360b3316
133ac7b2180
1421a601150
151354120c0
hexbae43102

3135516930 has 96 divisors (see below), whose sum is σ = 10033680384. Its totient is φ = 661557888.

The previous prime is 3135516919. The next prime is 3135516947. The reversal of 3135516930 is 396155313.

3135516930 is a `hidden beast` number, since 3 + 13 + 551 + 6 + 93 + 0 = 666.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 183234 + ... + 199613.

It is an arithmetic number, because the mean of its divisors is an integer number (104517504).

Almost surely, 23135516930 is an apocalyptic number.

3135516930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3135516930 is an abundant number, since it is smaller than the sum of its proper divisors (6898163454).

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

3135516930 is a wasteful number, since it uses less digits than its factorization.

3135516930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382880 (or 382877 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 3135516930 is about 55995.6867088886. The cubic root of 3135516930 is about 1463.6471228024.

The spelling of 3135516930 in words is "three billion, one hundred thirty-five million, five hundred sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 382847 765694 1148541 1914235 2297082 2679929 3445623 3828470 4977011 5359858 5742705 6891246 8039787 9954022 11485410 13399645 14931033 16079574 17228115 24119361 24885055 26799290 29862066 34456230 34839077 40198935 44793099 48238722 49770110 69678154 74655165 80397870 89586198 104517231 120596805 149310330 174195385 209034462 223965495 241193610 313551693 348390770 447930990 522586155 627103386 1045172310 1567758465 3135516930