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112442410040120 = 23515185721722629
BaseRepresentation
bin11001100100010000001001…
…111010000111101100111000
3112202010101111212221021002122
4121210100021322013230320
5104214224023432240440
61035051155143220412
732453460512360516
oct3144201172075470
9482111455837078
10112442410040120
1132911616111206
1210740113747708
134a98373618c54
141daa3552754b6
15ceed4247b7b5
hex664409e87b38

112442410040120 has 64 divisors (see below), whose sum is σ = 254968066267200. Its totient is φ = 44626966963200.

The previous prime is 112442410040021. The next prime is 112442410040131. The reversal of 112442410040120 is 21040014244211.

It is a super-3 number, since 3×1124424100401203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 112442410040120.

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, 5685035 + ... + 16037594.

It is an arithmetic number, because the mean of its divisors is an integer number (3983876035425).

Almost surely, 2112442410040120 is an apocalyptic number.

112442410040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112442410040120 is an abundant number, since it is smaller than the sum of its proper divisors (142525656227080).

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

112442410040120 is a wasteful number, since it uses less digits than its factorization.

112442410040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723648 (or 21723644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 112442410040120 its reverse (21040014244211), we get a palindrome (133482424284331).

The spelling of 112442410040120 in words is "one hundred twelve trillion, four hundred forty-two billion, four hundred ten million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 857 1208 1510 1714 3020 3428 4285 6040 6856 8570 17140 34280 129407 258814 517628 647035 1035256 1294070 2588140 5176280 21722629 43445258 86890516 108613145 173781032 217226290 434452580 868905160 3280116979 6560233958 13120467916 16400584895 18616293053 26240935832 32801169790 37232586106 65602339580 74465172212 93081465265 131204679160 148930344424 186162930530 372325861060 744651722120 2811060251003 5622120502006 11244241004012 14055301255015 22488482008024 28110602510030 56221205020060 112442410040120