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110141107024 = 24134173176921
BaseRepresentation
bin110011010010011101…
…0111110101101010000
3101112021220220221211011
41212210322332231100
53301032110411044
6122333110100304
710646253651124
oct1464472765520
9345256827734
10110141107024
114278a868993
121941a04a694
13a5038040a0
14548bc35584
152ce96bc134
hex19a4ebeb50

110141107024 has 80 divisors (see below), whose sum is σ = 238645131984. Its totient is φ = 48914841600.

The previous prime is 110141107007. The next prime is 110141107039. The reversal of 110141107024 is 420701141011.

It can be written as a sum of positive squares in 8 ways, for example, as 20061889600 + 90079217424 = 141640^2 + 300132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110141106986 and 110141107004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534084 + ... + 711004.

Almost surely, 2110141107024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110141107024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119322565992).

110141107024 is an abundant number, since it is smaller than the sum of its proper divisors (128504024960).

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

110141107024 is a wasteful number, since it uses less digits than its factorization.

110141107024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177056 (or 177050 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 110141107024 its reverse (420701141011), we get a palindrome (530842248035).

The spelling of 110141107024 in words is "one hundred ten billion, one hundred forty-one million, one hundred seven thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 41 52 73 82 104 146 164 208 292 328 533 584 656 949 1066 1168 1898 2132 2993 3796 4264 5986 7592 8528 11972 15184 23944 38909 47888 77818 155636 176921 311272 353842 622544 707684 1415368 2299973 2830736 4599946 7253761 9199892 12915233 14507522 18399784 25830466 29015044 36799568 51660932 58030088 94298893 103321864 116060176 167898029 188597786 206643728 335796058 377195572 529524553 671592116 754391144 1059049106 1343184232 1508782288 2118098212 2686368464 4236196424 6883819189 8472392848 13767638378 27535276756 55070553512 110141107024