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11431234220 = 22572232271613
BaseRepresentation
bin10101010010101101…
…01100101010101100
31002111122212212101012
422221112230222230
5141402343443340
65130151004352
7553163613320
oct125126545254
932448785335
1011431234220
1149366a750a
1222703696b8
131102383923
147a6285980
1546d872565
hex2a95acaac

11431234220 has 96 divisors (see below), whose sum is σ = 27696549888. Its totient is φ = 3882108672.

The previous prime is 11431234219. The next prime is 11431234223. The reversal of 11431234220 is 2243213411.

11431234220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11431234223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7086134 + ... + 7087746.

It is an arithmetic number, because the mean of its divisors is an integer number (288505728).

Almost surely, 211431234220 is an apocalyptic number.

11431234220 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 11431234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848274944).

11431234220 is an abundant number, since it is smaller than the sum of its proper divisors (16265315668).

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

11431234220 is a wasteful number, since it uses less digits than its factorization.

11431234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 11431234220 its reverse (2243213411), we get a palindrome (13674447631).

The spelling of 11431234220 in words is "eleven billion, four hundred thirty-one million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 227 446 454 892 908 1115 1135 1561 1589 1613 2230 2270 3122 3178 3226 4460 4540 6244 6356 6452 7805 7945 8065 11291 15610 15890 16130 22582 31220 31780 32260 45164 50621 56455 101242 112910 202484 225820 253105 354347 359699 366151 506210 708694 719398 732302 1012420 1417388 1438796 1464604 1771735 1798495 1830755 2517893 2563057 3543470 3596990 3661510 5035786 5126114 7086940 7193980 7323020 10071572 10252228 12589465 12815285 25178930 25630570 50357860 51261140 81651673 163303346 326606692 408258365 571561711 816516730 1143123422 1633033460 2286246844 2857808555 5715617110 11431234220