Search a number
-
+
11230221132 = 22331323347771
BaseRepresentation
bin10100111010101111…
…11001001101001100
31001222122122100021000
422131113321031030
5140444414034012
65054210340300
7545203206324
oct123527711514
931878570230
1011230221132
114843192399
122214b8a690
13109c833480
147876bc284
1545adb7ddc
hex29d5f934c

11230221132 has 96 divisors (see below), whose sum is σ = 32718389760. Its totient is φ = 3305206080.

The previous prime is 11230221113. The next prime is 11230221137. The reversal of 11230221132 is 23112203211.

It is a super-2 number, since 2×112302211322 (a number of 21 digits) contains 22 as substring.

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 (11230221137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 141594 + ... + 206177.

It is an arithmetic number, because the mean of its divisors is an integer number (340816560).

Almost surely, 211230221132 is an apocalyptic number.

11230221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11230221132 is an abundant number, since it is smaller than the sum of its proper divisors (21488168628).

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

11230221132 is a wasteful number, since it uses less digits than its factorization.

11230221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347820 (or 347812 counting only the distinct ones).

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

Adding to 11230221132 its reverse (23112203211), we get a palindrome (34342424343).

The spelling of 11230221132 in words is "eleven billion, two hundred thirty million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 347771 695542 1043313 1391084 2086626 3129939 4173252 4521023 6259878 7998733 9042046 9389817 12519756 13563069 15997466 18084092 18779634 23996199 27126138 31994932 37559268 40689207 47992398 54252276 71988597 81378414 95984796 103983529 122067621 143977194 162756828 207967058 215965791 244135242 287954388 311950587 415934116 431931582 488270484 623901174 863863164 935851761 1247802348 1871703522 2807555283 3743407044 5615110566 11230221132