Search a number
-
+
2000210000112 = 243383193289039
BaseRepresentation
bin11101000110110101110…
…011100111100011110000
321002012220001222221222000
4131012311303213203300
5230232412230000422
64130514522014000
7264340032322212
oct35066563474360
97065801887860
102000210000112
11701314443aa5
122837a2347300
13116807c102ac
146cb4c7165b2
153706b65ecac
hex1d1b5ce78f0

2000210000112 has 160 divisors (see below), whose sum is σ = 5840642841600. Its totient is φ = 655288455168.

The previous prime is 2000210000101. The next prime is 2000210000149. The reversal of 2000210000112 is 2110000120002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000210000094 and 2000210000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6775689 + ... + 7064727.

It is an arithmetic number, because the mean of its divisors is an integer number (36504017760).

Almost surely, 22000210000112 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 2000210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920321420800).

2000210000112 is an abundant number, since it is smaller than the sum of its proper divisors (3840432841488).

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

2000210000112 is a wasteful number, since it uses less digits than its factorization.

2000210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289332 (or 289320 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000210000112 its reverse (2110000120002), we get a palindrome (4110210120114).

The spelling of 2000210000112 in words is "two trillion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 193 216 249 332 386 432 498 579 664 747 772 996 1158 1328 1494 1544 1737 1992 2241 2316 2988 3088 3474 3984 4482 4632 5211 5976 6948 8964 9264 10422 11952 13896 16019 17928 20844 27792 32038 35856 41688 48057 64076 83376 96114 128152 144171 192228 256304 288342 289039 384456 432513 576684 578078 768912 865026 867117 1153368 1156156 1730052 1734234 2306736 2312312 2601351 3460104 3468468 4624624 5202702 6920208 6936936 7804053 10405404 13873872 15608106 20810808 23990237 31216212 41621616 47980474 55784527 62432424 71970711 95960948 111569054 124864848 143941422 167353581 191921896 215912133 223138108 287882844 334707162 383843792 431824266 446276216 502060743 575765688 647736399 669414324 863648532 892552432 1004121486 1151531376 1295472798 1338828648 1506182229 1727297064 2008242972 2590945596 2677657296 3012364458 3454594128 4016485944 4630115741 5181891192 6024728916 8032971888 9260231482 10363782384 12049457832 13890347223 18520462964 24098915664 27780694446 37040925928 41671041669 55561388892 74081851856 83342083338 111122777784 125013125007 166684166676 222245555568 250026250014 333368333352 500052500028 666736666704 1000105000056 2000210000112