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20133012312 = 233271271492111
BaseRepresentation
bin10010110000000001…
…010110001101011000
31220222002210222211200
4102300001112031120
5312213022343222
613125440154200
71311625531620
oct226001261530
956862728750
1020133012312
1185a1619156
123a9a608960
131b8b10954a
14d8dc2b880
157cc791eac
hex4b0056358

20133012312 has 192 divisors, whose sum is σ = 63258624000. Its totient is φ = 5666008320.

The previous prime is 20133012311. The next prime is 20133012337. The reversal of 20133012312 is 21321033102.

20133012312 is a `hidden beast` number, since 20 + 1 + 330 + 1 + 2 + 312 = 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 (20133012311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9536137 + ... + 9538247.

It is an arithmetic number, because the mean of its divisors is an integer number (329472000).

Almost surely, 220133012312 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 20133012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31629312000).

20133012312 is an abundant number, since it is smaller than the sum of its proper divisors (43125611688).

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

20133012312 is a wasteful number, since it uses less digits than its factorization.

20133012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2399 counting only the distinct ones).

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

Adding to 20133012312 its reverse (21321033102), we get a palindrome (41454045414).

The spelling of 20133012312 in words is "twenty billion, one hundred thirty-three million, twelve thousand, three hundred twelve".