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110121424 = 24722331197
BaseRepresentation
bin1101001000001…
…01000111010000
321200012202012021
412210011013100
5211142341144
614532141224
72505005500
oct644050720
9250182167
10110121424
1157184946
1230a67814
1319a7870a
14108a7a00
159a03884
hex69051d0

110121424 has 120 divisors (see below), whose sum is σ = 268697088. Its totient is φ = 43464960.

The previous prime is 110121421. The next prime is 110121433. The reversal of 110121424 is 424121011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110121398 and 110121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558894 + ... + 559090.

Almost surely, 2110121424 is an apocalyptic number.

110121424 is a gapful number since it is divisible by the number (14) 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 110121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134348544).

110121424 is an abundant number, since it is smaller than the sum of its proper divisors (158575664).

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

110121424 is a wasteful number, since it uses less digits than its factorization.

110121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 110121424 is about 10493.8755471942. The cubic root of 110121424 is about 479.3182218954.

Adding to 110121424 its reverse (424121011), we get a palindrome (534242435).

The spelling of 110121424 in words is "one hundred ten million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 49 56 62 92 98 112 124 161 184 196 197 217 248 322 368 392 394 434 496 644 713 784 788 868 1127 1288 1379 1426 1519 1576 1736 2254 2576 2758 2852 3038 3152 3472 4508 4531 4991 5516 5704 6076 6107 9016 9062 9653 9982 11032 11408 12152 12214 18032 18124 19306 19964 22064 24304 24428 31717 34937 36248 38612 39928 42749 48856 63434 69874 72496 77224 79856 85498 97712 126868 139748 140461 154448 170996 222019 253736 279496 280922 299243 341992 444038 507472 558992 561844 598486 683984 888076 983227 1123688 1196972 1776152 1966454 2247376 2393944 3552304 3932908 4787888 6882589 7865816 13765178 15731632 27530356 55060712 110121424