Search a number
-
+
2000210220112 = 24132333532239
BaseRepresentation
bin11101000110110101110…
…100011101010001010000
321002012220002102010202011
4131012311310131101100
5230232412304020422
64130514530432304
7264340034226466
oct35066564352120
97065802363664
102000210220112
11701314584315
122837a2432694
13116807c89480
146cb4c772836
153706b6a5077
hex1d1b5d1d450

2000210220112 has 160 divisors (see below), whose sum is σ = 4377519820800. Its totient is φ = 880141160448.

The previous prime is 2000210220091. The next prime is 2000210220139. The reversal of 2000210220112 is 2110220120002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2000210220092 and 2000210220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893348689 + ... + 893350927.

It is an arithmetic number, because the mean of its divisors is an integer number (27359498880).

Almost surely, 22000210220112 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 2000210220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188759910400).

2000210220112 is an abundant number, since it is smaller than the sum of its proper divisors (2377309600688).

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

2000210220112 is a wasteful number, since it uses less digits than its factorization.

2000210220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2000210220112 its reverse (2110220120002), we get a palindrome (4110430340114).

The spelling of 2000210220112 in words is "two trillion, two hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 353 368 529 598 706 1058 1196 1412 2116 2239 2392 2824 4232 4478 4589 4784 5648 6877 8119 8464 8956 9178 12167 13754 16238 17912 18356 24334 27508 29107 32476 35824 36712 48668 51497 55016 58214 64952 73424 97336 102994 105547 110032 116428 129904 158171 186737 194672 205988 211094 232856 316342 373474 411976 422188 465712 632684 669461 746948 790367 823952 844376 1184431 1265368 1338922 1493896 1580734 1688752 2368862 2427581 2530736 2677844 2987792 3161468 4294951 4737724 4855162 5355688 6322936 8589902 9475448 9710324 10274771 10711376 12645872 15397603 17179804 18178441 18950896 19420648 20549542 27241913 30795206 34359608 36356882 38841296 41099084 54483826 55834363 61590412 68719216 72713764 82198168 108967652 111668726 123180824 145427528 164396336 217935304 223337452 236319733 246361648 290855056 354144869 418104143 435870608 446674904 472639466 708289738 836208286 893349808 945278932 1416579476 1672416572 1890557864 2833158952 3344833144 3781115728 5435353859 5666317904 6689666288 9616395289 10870707718 19232790578 21741415436 38465581156 43482830872 76931162312 86965661744 125013138757 153862324624 250026277514 500052555028 1000105110056 2000210220112