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11222130132 = 22321925763839
BaseRepresentation
bin10100111001110010…
…00001110111010100
31001222002102021111100
422130321001313110
5140440331131012
65053321110100
7545044350363
oct123471016724
931862367440
1011222130132
114839666514
122212328330
13109ac5c7b5
147865b37da
1545a31a8dc
hex29ce41dd4

11222130132 has 72 divisors (see below), whose sum is σ = 29976710400. Its totient is φ = 3529986048.

The previous prime is 11222130119. The next prime is 11222130133. The reversal of 11222130132 is 23103122211.

11222130132 is a `hidden beast` number, since 112 + 221 + 301 + 32 = 666.

11222130132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222130133) 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 23 ways as a sum of consecutive naturals, for example, 143869 + ... + 207707.

It is an arithmetic number, because the mean of its divisors is an integer number (416343200).

Almost surely, 211222130132 is an apocalyptic number.

11222130132 is a gapful number since it is divisible by the number (12) 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 11222130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988355200).

11222130132 is an abundant number, since it is smaller than the sum of its proper divisors (18754580268).

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

11222130132 is a wasteful number, since it uses less digits than its factorization.

11222130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64125 (or 64120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11222130132 its reverse (23103122211), we get a palindrome (34325252343).

The spelling of 11222130132 in words is "eleven billion, two hundred twenty-two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 257 342 514 684 771 1028 1542 2313 3084 4626 4883 9252 9766 14649 19532 29298 43947 58596 63839 87894 127678 175788 191517 255356 383034 574551 766068 1149102 1212941 2298204 2425882 3638823 4851764 7277646 10916469 14555292 16406623 21832938 32813246 43665876 49219869 65626492 98439738 147659607 196879476 295319214 311725837 590638428 623451674 935177511 1246903348 1870355022 2805532533 3740710044 5611065066 11222130132