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33132312020 = 2252029816469
BaseRepresentation
bin11110110110110101…
…101111010111010100
310011112001021211200102
4132312311233113110
51020323332441040
623115404233232
72252023001603
oct366665572724
9104461254612
1033132312020
1113062365455
126507b3b818
1331802c4572
141864453a3a
15cddb06515
hex7b6d6f5d4

33132312020 has 24 divisors (see below), whose sum is σ = 69612232200. Its totient is φ = 13246376832.

The previous prime is 33132312001. The next prime is 33132312047. The reversal of 33132312020 is 2021323133.

It can be written as a sum of positive squares in 4 ways, for example, as 3163162564 + 29969149456 = 56242^2 + 173116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33132311983 and 33132312001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 367655 + ... + 448814.

It is an arithmetic number, because the mean of its divisors is an integer number (2900509675).

Almost surely, 233132312020 is an apocalyptic number.

It is an amenable number.

33132312020 is an abundant number, since it is smaller than the sum of its proper divisors (36479920180).

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

33132312020 is a wasteful number, since it uses less digits than its factorization.

33132312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818507 (or 818505 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33132312020 its reverse (2021323133), we get a palindrome (35153635153).

It can be divided in two parts, 331323 and 12020, that added together give a palindrome (343343).

The spelling of 33132312020 in words is "thirty-three billion, one hundred thirty-two million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 2029 4058 8116 10145 20290 40580 816469 1632938 3265876 4082345 8164690 16329380 1656615601 3313231202 6626462404 8283078005 16566156010 33132312020