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200410331121 = 3271113311674297
BaseRepresentation
bin1011101010100101100…
…0101111011111110001
3201011021221101122222100
42322221120233133301
511240420021043441
6232022304531013
720323232464440
oct2725130573761
9634257348870
10200410331121
1177aa2453030
1232a11020a69
1315b8b339c60
1499b27b4d57
15532e4c8cb6
hex2ea962f7f1

200410331121 has 192 divisors, whose sum is σ = 403708870656. Its totient is φ = 92422425600.

The previous prime is 200410331101. The next prime is 200410331131. The reversal of 200410331121 is 121133014002.

200410331121 is a `hidden beast` number, since 200 + 4 + 10 + 331 + 121 = 666.

It is not a de Polignac number, because 200410331121 - 215 = 200410298353 is a prime.

It is a super-2 number, since 2×2004103311212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200410331094 and 200410331103.

It is not an unprimeable number, because it can be changed into a prime (200410331101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46637445 + ... + 46641741.

It is an arithmetic number, because the mean of its divisors is an integer number (2102650368).

Almost surely, 2200410331121 is an apocalyptic number.

200410331121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200410331121 is an abundant number, since it is smaller than the sum of its proper divisors (203298539535).

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

200410331121 is a wasteful number, since it uses less digits than its factorization.

200410331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200410331121 its reverse (121133014002), we get a palindrome (321543345123).

The spelling of 200410331121 in words is "two hundred billion, four hundred ten million, three hundred thirty-one thousand, one hundred twenty-one".