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11012220340 = 22511416611847
BaseRepresentation
bin10100100000110000…
…10010010110110100
31001102110102202101121
422100120102112310
5140023112022330
65020422033324
7536615220442
oct122030222664
931373382347
1011012220340
114741125150
122173b78844
131066615a14
14766771b92
15446ba517a
hex2906125b4

11012220340 has 96 divisors (see below), whose sum is σ = 25896423168. Its totient is φ = 3898752000.

The previous prime is 11012220287. The next prime is 11012220341. The reversal of 11012220340 is 4302221011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012220341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5961297 + ... + 5963143.

It is an arithmetic number, because the mean of its divisors is an integer number (269754408).

Almost surely, 211012220340 is an apocalyptic number.

11012220340 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 11012220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948211584).

11012220340 is an abundant number, since it is smaller than the sum of its proper divisors (14884202828).

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

11012220340 is a wasteful number, since it uses less digits than its factorization.

11012220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11012220340 its reverse (4302221011), we get a palindrome (15314441351).

The spelling of 11012220340 in words is "eleven billion, twelve million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 661 820 902 1322 1804 1847 2255 2644 3305 3694 4510 6610 7271 7388 9020 9235 13220 14542 18470 20317 27101 29084 36355 36940 40634 54202 72710 75727 81268 101585 108404 135505 145420 151454 203170 271010 298111 302908 378635 406340 542020 596222 757270 832997 1192444 1220867 1490555 1514540 1665994 2441734 2981110 3331988 4164985 4883468 5962220 6104335 8329970 12208670 13429537 16659940 24417340 26859074 50055547 53718148 67147685 100111094 134295370 200222188 250277735 268590740 500555470 550611017 1001110940 1101222034 2202444068 2753055085 5506110170 11012220340