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11000032340 = 22511295332531
BaseRepresentation
bin10100011111010011…
…10010110001010100
31001101121111112121012
422033221302301110
5140012002013330
65015304511352
7536406506063
oct121751626124
931347445535
1011000032340
114735260120
12216ba7b558
131063c3929b
14764cbc1da
15445a98c95
hex28fa72c54

11000032340 has 96 divisors (see below), whose sum is σ = 26561727360. Its totient is φ = 3789094400.

The previous prime is 11000032333. The next prime is 11000032363. The reversal of 11000032340 is 4323000011.

11000032340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110000323402 (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321875 + ... + 354405.

It is an arithmetic number, because the mean of its divisors is an integer number (276684660).

Almost surely, 211000032340 is an apocalyptic number.

11000032340 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 11000032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280863680).

11000032340 is an abundant number, since it is smaller than the sum of its proper divisors (15561695020).

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

11000032340 is a wasteful number, since it uses less digits than its factorization.

11000032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32633 (or 32631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11000032340 its reverse (4323000011), we get a palindrome (15323032351).

The spelling of 11000032340 in words is "eleven billion, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 53 55 58 106 110 116 145 212 220 265 290 319 530 580 583 638 1060 1166 1276 1537 1595 2332 2915 3074 3190 5830 6148 6380 7685 11660 15370 16907 30740 32531 33814 65062 67628 84535 130124 162655 169070 325310 338140 357841 650620 715682 943399 1431364 1724143 1789205 1886798 3448286 3578410 3773596 4716995 6896572 7156820 8620715 9433990 10377389 17241430 18867980 18965573 20754778 34482860 37931146 41509556 50000147 51886945 75862292 94827865 100000294 103773890 189655730 200000588 207547780 250000735 379311460 500001470 550001617 1000002940 1100003234 2200006468 2750008085 5500016170 11000032340