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201124314340120 = 235107135649346421
BaseRepresentation
bin101101101110101111100111…
…010011111101101100011000
3222101010022000021102021120201
4231232233213103331230120
5202330210043432340440
61551431122351431544
760235516000446163
oct5556574723755430
9871108007367521
10201124314340120
11590a2385165a06
121a6832a5b255b4
13882bc31512452
14379467c390ada
15183ba8942419a
hexb6ebe74fdb18

201124314340120 has 64 divisors (see below), whose sum is σ = 456763642596000. Its totient is φ = 79697041551360.

The previous prime is 201124314340111. The next prime is 201124314340121. The reversal of 201124314340120 is 21043413421102.

It is a happy number.

It is a super-2 number, since 2×2011243143401202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201124314340121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580404510 + ... + 580750930.

Almost surely, 2201124314340120 is an apocalyptic number.

201124314340120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124314340120 is an abundant number, since it is smaller than the sum of its proper divisors (255639328255880).

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

201124314340120 is a wasteful number, since it uses less digits than its factorization.

201124314340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482188 (or 482184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 201124314340120 its reverse (21043413421102), we get a palindrome (222167727761222).

The spelling of 201124314340120 in words is "two hundred one trillion, one hundred twenty-four billion, three hundred fourteen million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 135649 271298 346421 542596 678245 692842 1085192 1356490 1385684 1732105 2712980 2771368 3464210 5425960 6928420 13856840 14514443 29028886 37067047 58057772 72572215 74134094 116115544 145144430 148268188 185335235 290288860 296536376 370670470 580577720 741340940 1482681880 46991662229 93983324458 187966648916 234958311145 375933297832 469916622290 939833244580 1879666489160 5028107858503 10056215717006 20112431434012 25140539292515 40224862868024 50281078585030 100562157170060 201124314340120