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112020012 = 2232131072237
BaseRepresentation
bin1101010110101…
…00101000101100
321210210012120100
412223110220230
5212134120022
615040551100
72530103646
oct653245054
9253705510
10112020012
1158261325
1231622490
131a291940
1410c3d896
159c7b1ac
hex6ad4a2c

112020012 has 72 divisors (see below), whose sum is σ = 307930896. Its totient is φ = 34130304.

The previous prime is 112019993. The next prime is 112020043. The reversal of 112020012 is 210020211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112019976 and 112020003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48958 + ... + 51194.

It is an arithmetic number, because the mean of its divisors is an integer number (4276818).

Almost surely, 2112020012 is an apocalyptic number.

112020012 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 112020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153965448).

112020012 is an abundant number, since it is smaller than the sum of its proper divisors (195910884).

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

112020012 is a wasteful number, since it uses less digits than its factorization.

112020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112020012 is about 10583.9506801572. The cubic root of 112020012 is about 482.0571605104.

Adding to 112020012 its reverse (210020211), we get a palindrome (322040223).

The spelling of 112020012 in words is "one hundred twelve million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2237 2782 3852 4173 4474 5564 6711 8346 8948 12519 13422 16692 20133 25038 26844 29081 40266 50076 58162 80532 87243 116324 174486 239359 261729 348972 478718 523458 718077 957436 1046916 1436154 2154231 2872308 3111667 4308462 6223334 8616924 9335001 12446668 18670002 28005003 37340004 56010006 112020012