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33212130320 = 245877473377
BaseRepresentation
bin11110111011100110…
…001110010000010000
310011201121111000210202
4132323212032100100
51021004301132240
623131335114332
72254012310165
oct367346162020
9104647430722
1033212130320
11130a3422096
12652a8129a8
1331939c0025
141870cb006c
15ce5b21315
hex7bb98e410

33212130320 has 40 divisors (see below), whose sum is σ = 77306414424. Its totient is φ = 13269676032.

The previous prime is 33212130313. The next prime is 33212130353. The reversal of 33212130320 is 2303121233.

It can be written as a sum of positive squares in 4 ways, for example, as 498896896 + 32713233424 = 22336^2 + 180868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×332121303202 (a number of 22 digits) contains 22 as substring.

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 = 33212130292 and 33212130301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166529 + ... + 306848.

Almost surely, 233212130320 is an apocalyptic number.

It is an amenable number.

33212130320 is an abundant number, since it is smaller than the sum of its proper divisors (44094284104).

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

33212130320 is a wasteful number, since it uses less digits than its factorization.

33212130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474267 (or 474261 counting only the distinct ones).

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

Adding to 33212130320 its reverse (2303121233), we get a palindrome (35515251553).

The spelling of 33212130320 in words is "thirty-three billion, two hundred twelve million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 877 1754 3508 4385 7016 8770 14032 17540 35080 70160 473377 946754 1893508 2366885 3787016 4733770 7574032 9467540 18935080 37870160 415151629 830303258 1660606516 2075758145 3321213032 4151516290 6642426064 8303032580 16606065160 33212130320