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1112400042 = 2313374759139
BaseRepresentation
bin100001001001101…
…1110000010101010
32212112011202222120
41002103132002222
54234233300132
6302214332110
736365146545
oct10223360252
92775152876
101112400042
11520a14686
1227065a036
13149602aa0
14a7a4985c
15679d502c
hex424de0aa

1112400042 has 128 divisors (see below), whose sum is σ = 2574028800. Its totient is φ = 318110976.

The previous prime is 1112400019. The next prime is 1112400059. The reversal of 1112400042 is 2400042111.

It is a junction number, because it is equal to n+sod(n) for n = 1112399994 and 1112400030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8002809 + ... + 8002947.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 21112400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

1112400042 is an abundant number, since it is smaller than the sum of its proper divisors (1461628758).

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

1112400042 is a wasteful number, since it uses less digits than its factorization.

1112400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1112400042 is about 33352.6616928844. The cubic root of 1112400042 is about 1036.1445146812.

Adding to 1112400042 its reverse (2400042111), we get a palindrome (3512442153).

It can be divided in two parts, 111 and 2400042, that multiplied together give a palindrome (266404662).

The spelling of 1112400042 in words is "one billion, one hundred twelve million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 13 26 37 39 47 59 74 78 94 111 118 139 141 177 222 278 282 354 417 481 611 767 834 962 1222 1443 1534 1739 1807 1833 2183 2301 2773 2886 3478 3614 3666 4366 4602 5143 5217 5421 5546 6533 6549 8201 8319 10286 10434 10842 13066 13098 15429 16402 16638 19599 22607 24603 28379 30858 36049 39198 45214 49206 56758 66859 67821 72098 84929 85137 102601 106613 108147 133718 135642 169858 170274 200577 205202 213226 216294 241721 254787 303437 307803 319839 385447 401154 483442 509574 606874 615606 639678 725163 770894 910311 1156341 1333813 1450326 1820622 2312682 2667626 3142373 3944681 4001439 5010811 6284746 7889362 8002878 9427119 10021622 11834043 14261539 15032433 18854238 23668086 28523078 30064866 42784617 85569234 185400007 370800014 556200021 1112400042