Search a number
-
+
200140110240120 = 2335540275113123
BaseRepresentation
bin101101100000011011000000…
…001011010001100101111000
3222020122012121101202201100000
4231200123000023101211320
5202213043421210140440
61545355033010113000
760104434335565551
oct5540330013214570
9866565541681300
10200140110240120
1158852a42652526
121a5445b1b7b760
13878a19293b5cb
14375cb93b4b328
1518211847d9730
hexb606c02d1978

200140110240120 has 192 divisors, whose sum is σ = 674713935342720. Its totient is φ = 53357432413824.

The previous prime is 200140110240073. The next prime is 200140110240143. The reversal of 200140110240120 is 21042011041002.

200140110240120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 401 + 1 + 0 + 240 + 1 + 20 = 666.

It is a super-2 number, since 2×2001401102401202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200140110240093 and 200140110240102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36585879 + ... + 41699001.

It is an arithmetic number, because the mean of its divisors is an integer number (3514135079910).

Almost surely, 2200140110240120 is an apocalyptic number.

200140110240120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200140110240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337356967671360).

200140110240120 is an abundant number, since it is smaller than the sum of its proper divisors (474573825102600).

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

200140110240120 is a wasteful number, since it uses less digits than its factorization.

200140110240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117176 (or 5117160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200140110240120 its reverse (21042011041002), we get a palindrome (221182121281122).

The spelling of 200140110240120 in words is "two hundred trillion, one hundred forty billion, one hundred ten million, two hundred forty thousand, one hundred twenty".