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11204220132 = 2233783178559
BaseRepresentation
bin10100110111101001…
…01101010011100100
31001220211201100121000
422123310231103210
5140421240021012
65051441153300
7544436204550
oct123364552344
931824640530
1011204220132
11482a543466
12220832b830
13109732b771
14784070860
1545897dddc
hex29bd2d4e4

11204220132 has 96 divisors (see below), whose sum is σ = 33597849600. Its totient is φ = 3162619296.

The previous prime is 11204220121. The next prime is 11204220133. The reversal of 11204220132 is 23102240211.

It is a happy number.

11204220132 is a `hidden beast` number, since 112 + 0 + 422 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11204220133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26532 + ... + 152027.

It is an arithmetic number, because the mean of its divisors is an integer number (349977600).

Almost surely, 211204220132 is an apocalyptic number.

11204220132 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 11204220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798924800).

11204220132 is an abundant number, since it is smaller than the sum of its proper divisors (22393629468).

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

11204220132 is a wasteful number, since it uses less digits than its factorization.

11204220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178662 (or 178654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11204220132 its reverse (23102240211), we get a palindrome (34306460343).

The spelling of 11204220132 in words is "eleven billion, two hundred four million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8964 10458 15687 20916 31374 62748 178559 357118 535677 714236 1071354 1249913 1607031 2142708 2499826 3214062 3749739 4821093 4999652 6428124 7499478 9642186 11249217 14820397 14998956 19284372 22498434 29640794 33747651 44461191 44996868 59281588 67495302 88922382 103742779 133383573 134990604 177844764 207485558 266767146 311228337 400150719 414971116 533534292 622456674 800301438 933685011 1244913348 1600602876 1867370022 2801055033 3734740044 5602110066 11204220132