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11220131000 = 235313863087
BaseRepresentation
bin10100111001100010…
…11001110010111000
31001221221122201012102
422130301121302320
5140434323143000
65053210202532
7545021353121
oct123461316270
931857581172
1011220131000
114838520541
122211723448
13109a70c890
14786213048
1545a0733d5
hex29cc59cb8

11220131000 has 64 divisors (see below), whose sum is σ = 28274762880. Its totient is φ = 4142812800.

The previous prime is 11220130991. The next prime is 11220131003. The reversal of 11220131000 is 13102211.

11220131000 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 2×112201310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220131003) 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 15 ways as a sum of consecutive naturals, for example, 418544 + ... + 444543.

It is an arithmetic number, because the mean of its divisors is an integer number (441793170).

Almost surely, 211220131000 is an apocalyptic number.

11220131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220131000 is an abundant number, since it is smaller than the sum of its proper divisors (17054631880).

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

11220131000 is a wasteful number, since it uses less digits than its factorization.

11220131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863121 (or 863107 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11220131000 its reverse (13102211), we get a palindrome (11233233211).

The spelling of 11220131000 in words is "eleven billion, two hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 863087 1726174 3452348 4315435 6904696 8630870 11220131 17261740 21577175 22440262 34523480 43154350 44880524 56100655 86308700 89761048 107885875 112201310 172617400 215771750 224402620 280503275 431543500 448805240 561006550 863087000 1122013100 1402516375 2244026200 2805032750 5610065500 11220131000