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110051214 = 23713533803
BaseRepresentation
bin1101000111100…
…11111110001110
321200002011212220
412203303332032
5211133114324
614530440210
72504264010
oct643637616
9250064786
10110051214
1157137119
1230a33066
1319a52780
141088a1b0
1599dcb79
hex68f3f8e

110051214 has 64 divisors (see below), whose sum is σ = 276079104. Its totient is φ = 28469376.

The previous prime is 110051213. The next prime is 110051219. The reversal of 110051214 is 412150011.

It is a happy number.

It is a super-2 number, since 2×1100512142 = 24222539405747592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110051193 and 110051202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110051213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27037 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (4313736).

Almost surely, 2110051214 is an apocalyptic number.

110051214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110051214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138039552).

110051214 is an abundant number, since it is smaller than the sum of its proper divisors (166027890).

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

110051214 is a wasteful number, since it uses less digits than its factorization.

110051214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 110051214 is about 10490.5297292367. The cubic root of 110051214 is about 479.2163341013.

The spelling of 110051214 in words is "one hundred ten million, fifty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 3803 4134 4823 7606 9646 11409 14469 22818 26621 28938 49439 53242 79863 98878 148317 159726 201559 296634 346073 403118 604677 692146 1038219 1209354 1410913 2076438 2620267 2821826 4232739 5240534 7860801 8465478 15721602 18341869 36683738 55025607 110051214