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203012133012 = 2232135367151809
BaseRepresentation
bin1011110100010001110…
…1110101000010010100
3201102000021010220012100
42331010131311002110
511311232101224022
6233132410322100
720444554441623
oct2750435650224
9642007126170
10203012133012
1179108069327
1233418429330
13161b43910c0
149b7c1656ba
155432b131ac
hex2f44775094

203012133012 has 288 divisors, whose sum is σ = 575971119360. Its totient is φ = 59898009600.

The previous prime is 203012133011. The next prime is 203012133047. The reversal of 203012133012 is 210331210302.

203012133012 is a `hidden beast` number, since 2 + 0 + 301 + 21 + 330 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203012133011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250941664 + ... + 250942472.

It is an arithmetic number, because the mean of its divisors is an integer number (1999899720).

Almost surely, 2203012133012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203012133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287985559680).

203012133012 is an abundant number, since it is smaller than the sum of its proper divisors (372958986348).

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

203012133012 is a wasteful number, since it uses less digits than its factorization.

203012133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203012133012 its reverse (210331210302), we get a palindrome (413343343314).

The spelling of 203012133012 in words is "two hundred three billion, twelve million, one hundred thirty-three thousand, twelve".