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110121132 = 223112149509
BaseRepresentation
bin1101001000001…
…01000010101100
321200012201210110
412210011002230
5211142334012
614532140020
72505004602
oct644050254
9250181713
10110121132
1157184700
1230a67610
1319a78544
14108a7872
159a0373c
hex69050ac

110121132 has 72 divisors (see below), whose sum is σ = 284886000. Its totient is φ = 33080960.

The previous prime is 110121113. The next prime is 110121211. The reversal of 110121132 is 231121011.

It is a super-2 number, since 2×1101211322 = 24253327425922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216094 + ... + 216602.

It is an arithmetic number, because the mean of its divisors is an integer number (3956750).

Almost surely, 2110121132 is an apocalyptic number.

110121132 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 110121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142443000).

110121132 is an abundant number, since it is smaller than the sum of its proper divisors (174764868).

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

110121132 is a wasteful number, since it uses less digits than its factorization.

110121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 110121132 is about 10493.8616343079. The cubic root of 110121132 is about 479.3177982387.

Adding to 110121132 its reverse (231121011), we get a palindrome (341242143).

The spelling of 110121132 in words is "one hundred ten million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 149 242 298 363 447 484 509 596 726 894 1018 1452 1527 1639 1788 2036 3054 3278 4917 5599 6108 6556 9834 11198 16797 18029 19668 22396 33594 36058 54087 61589 67188 72116 75841 108174 123178 151682 184767 216348 227523 246356 303364 369534 455046 739068 834251 910092 1668502 2502753 3337004 5005506 9176761 10011012 18353522 27530283 36707044 55060566 110121132