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133202220032 = 210725772307
BaseRepresentation
bin111110000001101111…
…0001001010000000000
3110201211002110212200202
41330003132021100000
54140244232020112
6141105305504332
712423606121550
oct1740336112000
9421732425622
10133202220032
11515441a9472
12219951a20a8
13c73a43c99b
1466388b1160
1536e904e6c2
hex1f03789400

133202220032 has 88 divisors (see below), whose sum is σ = 305501878464. Its totient is φ = 56863752192.

The previous prime is 133202220023. The next prime is 133202220043. The reversal of 133202220032 is 230022202331.

133202220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1332022200323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133202219986 and 133202220013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806023 + ... + 1878329.

Almost surely, 2133202220032 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 133202220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152750939232).

133202220032 is an abundant number, since it is smaller than the sum of its proper divisors (172299658432).

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

133202220032 is an equidigital number, since it uses as much as digits as its factorization.

133202220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72591 (or 72573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 133202220032 its reverse (230022202331), we get a palindrome (363224422363).

The spelling of 133202220032 in words is "one hundred thirty-three billion, two hundred two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 257 448 512 514 896 1024 1028 1792 1799 2056 3584 3598 4112 7168 7196 8224 14392 16448 28784 32896 57568 65792 72307 115136 131584 144614 230272 263168 289228 460544 506149 578456 921088 1012298 1156912 1842176 2024596 2313824 4049192 4627648 8098384 9255296 16196768 18510592 18582899 32393536 37021184 37165798 64787072 74042368 74331596 129574144 130080293 148663192 259148288 260160586 297326384 518296576 520321172 594652768 1040642344 1189305536 2081284688 2378611072 4162569376 4757222144 8325138752 9514444288 16650277504 19028888576 33300555008 66601110016 133202220032