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11222130100 = 22521722316883
BaseRepresentation
bin10100111001110010…
…00001110110110100
31001222002102021110011
422130321001312310
5140440331130400
65053321110004
7545044350316
oct123471016664
931862367404
1011222130100
114839666495
122212328304
13109ac5c78c
147865b37b6
1545a31a8ba
hex29ce41db4

11222130100 has 108 divisors (see below), whose sum is σ = 26995084704. Its totient is φ = 4040875520.

The previous prime is 11222130097. The next prime is 11222130109. The reversal of 11222130100 is 103122211.

11222130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222130109) 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 35 ways as a sum of consecutive naturals, for example, 656259 + ... + 673141.

It is an arithmetic number, because the mean of its divisors is an integer number (249954488).

Almost surely, 211222130100 is an apocalyptic number.

11222130100 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 11222130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497542352).

11222130100 is an abundant number, since it is smaller than the sum of its proper divisors (15772954604).

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

11222130100 is a wasteful number, since it uses less digits than its factorization.

11222130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16954 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11222130100 its reverse (103122211), we get a palindrome (11325252311).

The spelling of 11222130100 in words is "eleven billion, two hundred twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 289 340 391 425 460 575 578 782 850 1150 1156 1445 1564 1700 1955 2300 2890 3910 5780 6647 7225 7820 9775 13294 14450 16883 19550 26588 28900 33235 33766 39100 66470 67532 84415 132940 166175 168830 287011 332350 337660 388309 422075 574022 664700 776618 844150 1148044 1435055 1553236 1688300 1941545 2870110 3883090 4879187 5740220 6601253 7175275 7766180 9707725 9758374 13202506 14350550 19415450 19516748 24395935 26405012 28701100 33006265 38830900 48791870 66012530 97583740 112221301 121979675 132025060 165031325 224442602 243959350 330062650 448885204 487918700 561106505 660125300 1122213010 2244426020 2805532525 5611065050 11222130100