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20121135201 = 3215131347303
BaseRepresentation
bin10010101111010100…
…000010100001100001
31220221021110120111200
4102233110002201201
5312202002311301
613124333431413
71311422553516
oct225724024141
956837416450
1020121135201
118595946762
123a9663b569
131b8880b47b
14d8c41930d
157cb6e7c86
hex4af502861

20121135201 has 24 divisors (see below), whose sum is σ = 29350429056. Its totient is φ = 13282401600.

The previous prime is 20121135143. The next prime is 20121135253. The reversal of 20121135201 is 10253112102.

20121135201 is a `hidden beast` number, since 20 + 12 + 113 + 520 + 1 = 666.

It is not a de Polignac number, because 20121135201 - 215 = 20121102433 is a prime.

It is a super-3 number, since 3×201211352013 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20121135901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401716 + ... + 449018.

It is an arithmetic number, because the mean of its divisors is an integer number (1222934544).

Almost surely, 220121135201 is an apocalyptic number.

It is an amenable number.

20121135201 is a deficient number, since it is larger than the sum of its proper divisors (9229293855).

20121135201 is a wasteful number, since it uses less digits than its factorization.

20121135201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47773 (or 47770 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 20121135201 its reverse (10253112102), we get a palindrome (30374247303).

The spelling of 20121135201 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-five thousand, two hundred one".

Divisors: 1 3 9 151 313 453 939 1359 2817 47263 47303 141789 141909 425367 425727 7142753 14805839 21428259 44417517 64284777 133252551 2235681689 6707045067 20121135201