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1113212232 = 2332113145341
BaseRepresentation
bin100001001011010…
…0100010101001000
32212120201001002200
41002112210111020
54234440242412
6302244000200
736405101466
oct10226442510
92776631080
101113212232
11521419910
12270990060
13149828682
14a7bbb836
1567ae59dc
hex425a4548

1113212232 has 96 divisors (see below), whose sum is σ = 3395208960. Its totient is φ = 326448000.

The previous prime is 1113212137. The next prime is 1113212273. The reversal of 1113212232 is 2322123111.

1113212232 is a `hidden beast` number, since 111 + 321 + 2 + 232 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882 + ... + 47222.

It is an arithmetic number, because the mean of its divisors is an integer number (35366760).

Almost surely, 21113212232 is an apocalyptic number.

1113212232 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 1113212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697604480).

1113212232 is an abundant number, since it is smaller than the sum of its proper divisors (2281996728).

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

1113212232 is a wasteful number, since it uses less digits than its factorization.

1113212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45395 (or 45388 counting only the distinct ones).

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

The square root of 1113212232 is about 33364.8352610949. The cubic root of 1113212232 is about 1036.3966246697.

Adding to 1113212232 its reverse (2322123111), we get a palindrome (3435335343).

The spelling of 1113212232 in words is "one billion, one hundred thirteen million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 45341 90682 136023 181364 272046 362728 408069 498751 544092 816138 997502 1088184 1405571 1496253 1632276 1995004 2811142 2992506 3264552 3990008 4216713 4488759 5622284 5985012 8433426 8977518 11244568 11970024 12650139 15461281 16866852 17955036 25300278 30922562 33733704 35910072 46383843 50600556 61845124 92767686 101201112 123690248 139151529 185535372 278303058 371070744 556606116 1113212232