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2010212210010 = 2352337591334563
BaseRepresentation
bin11101010000001001111…
…111000001010101011010
321010011201010220212111110
4131100021333001111122
5230413403311210020
64135251224041150
7265142634600054
oct35201177012532
97104633825443
102010212210010
11705587428374
122857140031b6
131177401c25a4
146d41ac928d4
15374548078e0
hex1d409fc155a

2010212210010 has 128 divisors (see below), whose sum is σ = 5257968629760. Its totient is φ = 490435520256.

The previous prime is 2010212209949. The next prime is 2010212210063. The reversal of 2010212210010 is 100122120102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 838989 + ... + 2173551.

It is an arithmetic number, because the mean of its divisors is an integer number (41077879920).

Almost surely, 22010212210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010212210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628984314880).

2010212210010 is an abundant number, since it is smaller than the sum of its proper divisors (3247756419750).

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

2010212210010 is a wasteful number, since it uses less digits than its factorization.

2010212210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334692.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2010212210010 its reverse (100122120102), we get a palindrome (2110334330112).

It can be divided in two parts, 2010212 and 210010, that added together give a palindrome (2220222).

The spelling of 2010212210010 in words is "two trillion, ten billion, two hundred twelve million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 59 69 74 111 115 118 138 177 185 222 230 295 345 354 370 555 590 690 851 885 1110 1357 1702 1770 2183 2553 2714 4071 4255 4366 5106 6549 6785 8142 8510 10915 12765 13098 13570 20355 21830 25530 32745 40710 50209 65490 100418 150627 251045 301254 502090 753135 1334563 1506270 2669126 4003689 6672815 8007378 13345630 20018445 30694949 40036890 49378831 61389898 78739217 92084847 98757662 148136493 153474745 157478434 184169694 236217651 246894155 296272986 306949490 393696085 460424235 472435302 493788310 740682465 787392170 920848470 1135713113 1181088255 1481364930 1811001991 2271426226 2362176510 2913351029 3407139339 3622003982 5433005973 5678565565 5826702058 6814278678 8740053087 9055009955 10866011946 11357131130 14566755145 17035696695 17480106174 18110019910 27165029865 29133510290 34071393390 43700265435 54330059730 67007073667 87400530870 134014147334 201021221001 335035368335 402042442002 670070736670 1005106105005 2010212210010