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112134310002 = 2321113223919457
BaseRepresentation
bin110100001101110111…
…0011100100001110010
3101201102211111011021200
41220123232130201302
53314122340410002
6123302551232030
711046535623411
oct1503356344162
9351384434250
10112134310002
1143612992880
1219895678616
13a76073b730
1455da841478
152db468ab1c
hex1a1bb9c872

112134310002 has 96 divisors (see below), whose sum is σ = 285574947840. Its totient is φ = 31350620160.

The previous prime is 112134309979. The next prime is 112134310007. The reversal of 112134310002 is 200013431211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112134310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5753458 + ... + 5772914.

It is an arithmetic number, because the mean of its divisors is an integer number (2974739040).

Almost surely, 2112134310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112134310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142787473920).

112134310002 is an abundant number, since it is smaller than the sum of its proper divisors (173440637838).

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

112134310002 is a wasteful number, since it uses less digits than its factorization.

112134310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728 (or 21725 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112134310002 its reverse (200013431211), we get a palindrome (312147741213).

The spelling of 112134310002 in words is "one hundred twelve billion, one hundred thirty-four million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2239 2574 4478 6717 13434 19457 20151 24629 29107 38914 40302 49258 58214 58371 73887 87321 116742 147774 174642 175113 214027 221661 252941 261963 320177 350226 428054 443322 505882 523926 640354 642081 758823 960531 1284162 1517646 1921062 1926243 2276469 2782351 2881593 3852486 4552938 5564702 5763186 8347053 16694106 25041159 43564223 50082318 87128446 130692669 261385338 392078007 479206453 566334899 784156014 958412906 1132669798 1437619359 1699004697 2875238718 3398009394 4312858077 5097014091 6229683889 8625716154 10194028182 12459367778 18689051667 37378103334 56067155001 112134310002