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33213201320 = 2351363871541
BaseRepresentation
bin11110111011101010…
…010011101110101000
310011201200111102221102
4132323222103232220
51021010034420240
623131414100532
72254024360505
oct367352235650
9104650442842
1033213201320
11130a3a93812
12652b04a748
133193ca6660
1418710ac4ac
15ce5c83815
hex7bba93ba8

33213201320 has 32 divisors (see below), whose sum is σ = 80478142920. Its totient is φ = 12263335680.

The previous prime is 33213201271. The next prime is 33213201323. The reversal of 33213201320 is 2310231233.

It can be written as a sum of positive squares in 4 ways, for example, as 21640175236 + 11573026084 = 147106^2 + 107578^2 .

It is a super-2 number, since 2×332132013202 (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 = 33213201292 and 33213201301.

It is not an unprimeable number, because it can be changed into a prime (33213201323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31935251 + ... + 31936290.

Almost surely, 233213201320 is an apocalyptic number.

It is an amenable number.

33213201320 is an abundant number, since it is smaller than the sum of its proper divisors (47264941600).

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

33213201320 is a wasteful number, since it uses less digits than its factorization.

33213201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63871565 (or 63871561 counting only the distinct ones).

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

Adding to 33213201320 its reverse (2310231233), we get a palindrome (35523432553).

The spelling of 33213201320 in words is "thirty-three billion, two hundred thirteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 63871541 127743082 255486164 319357705 510972328 638715410 830330033 1277430820 1660660066 2554861640 3321320132 4151650165 6642640264 8303300330 16606600660 33213201320