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340020012020200 = 23523745948650273
BaseRepresentation
bin100110101001111110001010…
…0000010000111000111101000
31122120220121002021000120000221
41031103330110002013013220
5324031341441034121300
63203055012003335424
7131422430605103041
oct11523742402070750
91576817067016027
10340020012020200
119938274a533566
12321761a6081574
13117959989c5445
145dd70b0a458c8
152949a7a3bd31a
hex1353f140871e8

340020012020200 has 48 divisors (see below), whose sum is σ = 811912650341580. Its totient is φ = 132332112783360.

The previous prime is 340020012020191. The next prime is 340020012020219. The reversal of 340020012020200 is 2020210020043.

It can be written as a sum of positive squares in 6 ways, for example, as 76294949151204 + 263725062868996 = 8734698^2 + 16239614^2 .

It is a super-2 number, since 2×3400200120202002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22974317737 + ... + 22974332536.

Almost surely, 2340020012020200 is an apocalyptic number.

It is an amenable number.

340020012020200 is an abundant number, since it is smaller than the sum of its proper divisors (471892638321380).

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

340020012020200 is a wasteful number, since it uses less digits than its factorization.

340020012020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45948650326 (or 45948650317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 340020012020200 its reverse (2020210020043), we get a palindrome (342040222040243).

The spelling of 340020012020200 in words is "three hundred forty trillion, twenty billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 45948650273 91897300546 183794601092 229743251365 367589202184 459486502730 918973005460 1148716256825 1700100060101 1837946010920 2297432513650 3400200120202 4594865027300 6800400240404 8500500300505 9189730054600 13600800480808 17001000601010 34002001202020 42502501502525 68004002404040 85005003005050 170010006010100 340020012020200