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11132122230 = 23251912295297
BaseRepresentation
bin10100101111000011…
…01011010001110110
31001201211001101212100
422113201223101312
5140244310402410
65040344002530
7542602322565
oct122741532166
931654041770
1011132122230
1147a287a219
1221a8160446
131085407098
14778663bdc
1545248b8c0
hex29786b476

11132122230 has 96 divisors (see below), whose sum is σ = 30497407200. Its totient is φ = 2809506816.

The previous prime is 11132122219. The next prime is 11132122231. The reversal of 11132122230 is 3222123111.

11132122230 is a `hidden beast` number, since 111 + 321 + 2 + 2 + 230 = 666.

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 (11132122231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098942 + ... + 2104238.

It is an arithmetic number, because the mean of its divisors is an integer number (317681325).

Almost surely, 211132122230 is an apocalyptic number.

11132122230 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 11132122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248703600).

11132122230 is an abundant number, since it is smaller than the sum of its proper divisors (19365284970).

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

11132122230 is a wasteful number, since it uses less digits than its factorization.

11132122230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6555 counting only the distinct ones).

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

Adding to 11132122230 its reverse (3222123111), we get a palindrome (14354245341).

The spelling of 11132122230 in words is "eleven billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1229 1710 2458 3687 5297 6145 7374 10594 11061 12290 15891 18435 22122 23351 26485 31782 36870 46702 47673 52970 55305 70053 79455 95346 100643 110610 116755 140106 158910 201286 210159 233510 238365 301929 350265 420318 476730 503215 603858 700530 905787 1006430 1050795 1509645 1811574 2101590 3019290 4528935 6510013 9057870 13020026 19530039 32550065 39060078 58590117 65100130 97650195 117180234 123690247 195300390 247380494 292950585 371070741 585901170 618451235 742141482 1113212223 1236902470 1855353705 2226424446 3710707410 5566061115 11132122230