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20033132112 = 24337172316943
BaseRepresentation
bin10010101010000100…
…010101011001010000
31220201010212112222000
4102222010111121100
5312011440211422
613111511314000
71306303545660
oct225204253120
956633775860
1020033132112
1185501a9734
123a7107b900
131b73508436
14d8086c1a0
157c3b12cac
hex4aa115650

20033132112 has 320 divisors, whose sum is σ = 72612495360. Its totient is φ = 5152536576.

The previous prime is 20033132107. The next prime is 20033132131. The reversal of 20033132112 is 21123133002.

20033132112 is a `hidden beast` number, since 2 + 0 + 0 + 331 + 321 + 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1173913 + ... + 1190855.

It is an arithmetic number, because the mean of its divisors is an integer number (226914048).

Almost surely, 220033132112 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 20033132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36306247680).

20033132112 is an abundant number, since it is smaller than the sum of its proper divisors (52579363248).

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

20033132112 is a wasteful number, since it uses less digits than its factorization.

20033132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17007 (or 16995 counting only the distinct ones).

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

Adding to 20033132112 its reverse (21123133002), we get a palindrome (41156265114).

The spelling of 20033132112 in words is "twenty billion, thirty-three million, one hundred thirty-two thousand, one hundred twelve".