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12001131310 = 2571946319489
BaseRepresentation
bin10110010110101001…
…01011101100101110
31010222101020122012211
423023110223230232
5144034242200220
65302505521034
7603253635010
oct131324535456
933871218184
1012001131310
1150a9364643
1223ab1a317a
13119346c73c
1481bc341b0
154a38e5b5a
hex2cb52bb2e

12001131310 has 64 divisors (see below), whose sum is σ = 26044876800. Its totient is φ = 3889492992.

The previous prime is 12001131287. The next prime is 12001131347. The reversal of 12001131310 is 1313110021.

It is a super-2 number, since 2×120011313102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606046 + ... + 625534.

It is an arithmetic number, because the mean of its divisors is an integer number (406951200).

Almost surely, 212001131310 is an apocalyptic number.

12001131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001131310 is an abundant number, since it is smaller than the sum of its proper divisors (14043745490).

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

12001131310 is a wasteful number, since it uses less digits than its factorization.

12001131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19985.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12001131310 its reverse (1313110021), we get a palindrome (13314241331).

It can be divided in two parts, 120011 and 31310, that added together give a square (151321 = 3892).

The spelling of 12001131310 in words is "twelve billion, one million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 463 665 926 1330 2315 3241 4630 6482 8797 16205 17594 19489 32410 38978 43985 61579 87970 97445 123158 136423 194890 272846 307895 370291 615790 682115 740582 1364230 1851455 2592037 3702910 5184074 9023407 12960185 18046814 25920370 45117035 63163849 90234070 126327698 171444733 315819245 342889466 631638490 857223665 1200113131 1714447330 2400226262 6000565655 12001131310