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110212140 = 223510717167
BaseRepresentation
bin1101001000110…
…11010000101100
321200101100122010
412210123100230
5211203242030
614534121220
72505534123
oct644332054
9250340563
10110212140
1157237015
1230ab0210
1319aaaaac
14108ccaba
159a206b0
hex691b42c

110212140 has 48 divisors (see below), whose sum is σ = 311496192. Its totient is φ = 29113536.

The previous prime is 110212121. The next prime is 110212147. The reversal of 110212140 is 41212011.

It is a happy number.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (110212147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164 + ... + 15003.

It is an arithmetic number, because the mean of its divisors is an integer number (6489504).

Almost surely, 2110212140 is an apocalyptic number.

110212140 is a gapful number since it is divisible by the number (10) 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 110212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155748096).

110212140 is an abundant number, since it is smaller than the sum of its proper divisors (201284052).

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

110212140 is a wasteful number, since it uses less digits than its factorization.

110212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17286 (or 17284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110212140 is about 10498.1969880547. The cubic root of 110212140 is about 479.4498036103.

Adding to 110212140 its reverse (41212011), we get a palindrome (151424151).

The spelling of 110212140 in words is "one hundred ten million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 17167 34334 51501 68668 85835 103002 171670 206004 257505 343340 515010 1030020 1836869 3673738 5510607 7347476 9184345 11021214 18368690 22042428 27553035 36737380 55106070 110212140