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1132321212 = 22321137109709
BaseRepresentation
bin100001101111101…
…1101100110111100
32220220122212200200
41003133131212330
54304333234322
6304205323500
740026400011
oct10337354674
92826585620
101132321212
11531190760
12277266590
13150789369
14aa553708
156961c8ac
hex437dd9bc

1132321212 has 144 divisors (see below), whose sum is σ = 3240837600. Its totient is φ = 330324480.

The previous prime is 1132321189. The next prime is 1132321217. The reversal of 1132321212 is 2121232311.

1132321212 is a `hidden beast` number, since 1 + 132 + 321 + 212 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132321217) 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 47 ways as a sum of consecutive naturals, for example, 1596714 + ... + 1597422.

Almost surely, 21132321212 is an apocalyptic number.

1132321212 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 1132321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620418800).

1132321212 is an abundant number, since it is smaller than the sum of its proper divisors (2108516388).

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

1132321212 is a wasteful number, since it uses less digits than its factorization.

1132321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

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

The square root of 1132321212 is about 33649.9808618073. The cubic root of 1132321212 is about 1042.2931439205.

Adding to 1132321212 its reverse (2121232311), we get a palindrome (3253553523).

The spelling of 1132321212 in words is "one billion, one hundred thirty-two million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 109 111 132 148 198 218 222 327 333 396 407 436 444 654 666 709 814 981 1199 1221 1308 1332 1418 1628 1962 2127 2398 2442 2836 3597 3663 3924 4033 4254 4796 4884 6381 7194 7326 7799 8066 8508 10791 12099 12762 14388 14652 15598 16132 21582 23397 24198 25524 26233 31196 36297 43164 44363 46794 48396 52466 70191 72594 77281 78699 88726 93588 104932 133089 140382 145188 154562 157398 177452 231843 236097 266178 280764 288563 309124 314796 399267 463686 472194 532356 577126 695529 798534 850091 865689 927372 944388 1154252 1391058 1597068 1700182 1731378 2550273 2597067 2782116 2859397 3400364 3462756 5100546 5194134 5718794 7650819 8578191 10201092 10388268 11437588 15301638 17156382 25734573 30603276 31453367 34312764 51469146 62906734 94360101 102938292 125813468 188720202 283080303 377440404 566160606 1132321212