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110131031120 = 245111069117071
BaseRepresentation
bin110011010010001010…
…0100010110001010000
3101112021012222001021112
41212210110202301100
53301022020443440
6122332110112452
710646102214245
oct1464424426120
9345235861245
10110131031120
11427851067a0
12194167ab728
13a5016b6b06
14548a7715cc
152ce887b965
hex19a4522c50

110131031120 has 80 divisors (see below), whose sum is σ = 279596033280. Its totient is φ = 40009843200.

The previous prime is 110131031041. The next prime is 110131031137. The reversal of 110131031120 is 21130131011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 110131031095 and 110131031104.

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, 882185 + ... + 999255.

It is an arithmetic number, because the mean of its divisors is an integer number (3494950416).

Almost surely, 2110131031120 is an apocalyptic number.

110131031120 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 110131031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139798016640).

110131031120 is an abundant number, since it is smaller than the sum of its proper divisors (169465002160).

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

110131031120 is a wasteful number, since it uses less digits than its factorization.

110131031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118164 (or 118158 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110131031120 its reverse (21130131011), we get a palindrome (131261162131).

The spelling of 110131031120 in words is "one hundred ten billion, one hundred thirty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1069 2138 4276 5345 8552 10690 11759 17104 21380 23518 42760 47036 58795 85520 94072 117071 117590 188144 234142 235180 468284 470360 585355 936568 940720 1170710 1287781 1873136 2341420 2575562 4682840 5151124 6438905 9365680 10302248 12877810 20604496 25755620 51511240 103022480 125148899 250297798 500595596 625744495 1001191192 1251488990 1376637889 2002382384 2502977980 2753275778 5005955960 5506551556 6883189445 10011911920 11013103112 13766378890 22026206224 27532757780 55065515560 110131031120