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11220221130 = 235412271821
BaseRepresentation
bin10100111001100011…
…01111110011001010
31001221221211021211120
422130301233303022
5140434334034010
65053212140110
7545022206646
oct123461576312
931857737746
1011220221130
114838582228
122211767636
13109a741901
14786237c26
1545a08ee70
hex29cc6fcca

11220221130 has 96 divisors (see below), whose sum is σ = 27736936704. Its totient is φ = 2904768000.

The previous prime is 11220221113. The next prime is 11220221143. The reversal of 11220221130 is 3112202211.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 13666120 + ... + 13666940.

It is an arithmetic number, because the mean of its divisors is an integer number (288926424).

Almost surely, 211220221130 is an apocalyptic number.

11220221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868468352).

11220221130 is an abundant number, since it is smaller than the sum of its proper divisors (16516715574).

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

11220221130 is a wasteful number, since it uses less digits than its factorization.

11220221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11220221130 its reverse (3112202211), we get a palindrome (14332423341).

The spelling of 11220221130 in words is "eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 821 1230 1355 1626 1642 1681 2463 2710 3362 4065 4105 4926 5043 8130 8210 8405 10086 11111 12315 16810 22222 24630 25215 33333 33661 50430 55555 66666 67322 100983 111110 166665 168305 201966 222491 333330 336610 444982 455551 504915 667473 911102 1009830 1112455 1334946 1366653 1380101 2224910 2277755 2733306 2760202 3337365 4140303 4555510 6674730 6833265 6900505 8280606 9122131 13666530 13801010 18244262 20701515 27366393 41403030 45610655 54732786 91221310 136831965 273663930 374007371 748014742 1122022113 1870036855 2244044226 3740073710 5610110565 11220221130