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111212331012 = 223237173487991
BaseRepresentation
bin110011110010011000…
…1011000000000000100
3101122001120121202212200
41213210301120000010
53310230324043022
6123031254114500
711014642134126
oct1474461300004
9348046552780
10111212331012
114318a509372
121967894ba30
13a64471ac33
145550203216
152d5d76bbac
hex19e4c58004

111212331012 has 144 divisors (see below), whose sum is σ = 291276690432. Its totient is φ = 35750626560.

The previous prime is 111212331011. The next prime is 111212331031. The reversal of 111212331012 is 210133212111.

111212331012 is a `hidden beast` number, since 111 + 212 + 331 + 0 + 12 = 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 (111212331011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112221837 + ... + 112222827.

Almost surely, 2111212331012 is an apocalyptic number.

111212331012 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 111212331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145638345216).

111212331012 is an abundant number, since it is smaller than the sum of its proper divisors (180064359420).

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

111212331012 is a wasteful number, since it uses less digits than its factorization.

111212331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111212331012 its reverse (210133212111), we get a palindrome (321345543123).

The spelling of 111212331012 in words is "one hundred eleven billion, two hundred twelve million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 173 222 333 346 444 487 519 666 692 974 991 1038 1332 1461 1557 1948 1982 2076 2922 2973 3114 3964 4383 5844 5946 6228 6401 8766 8919 11892 12802 17532 17838 18019 19203 25604 35676 36038 36667 38406 54057 57609 72076 73334 76812 84251 108114 110001 115218 146668 162171 168502 171443 216228 220002 230436 252753 324342 330003 337004 342886 440004 482617 505506 514329 648684 660006 685772 758259 965234 1011012 1028658 1320012 1447851 1516518 1542987 1930468 2057316 2895702 3033036 3085974 3117287 4343553 5791404 6171948 6234574 6343391 8687106 9351861 12469148 12686782 17374212 17856829 18703722 19030173 25373564 28055583 35713658 37407444 38060346 53570487 56111166 57090519 71427316 76120692 83492741 107140974 112222332 114181038 160711461 166985482 214281948 228362076 250478223 321422922 333970964 500956446 642845844 751434669 1001912892 1502869338 3005738676 3089231417 6178462834 9267694251 12356925668 18535388502 27803082753 37070777004 55606165506 111212331012