Search a number
-
+
33212103301 = 133122658457
BaseRepresentation
bin11110111011100110…
…000111101010000101
310011201121102122202001
4132323212013222011
51021004244301201
623131334345301
72254012135336
oct367346075205
9104647378661
1033212103301
11130a3403863
12652a7bb231
1331939b0940
141870ca428d
15ce5b18301
hex7bb987a85

33212103301 has 12 divisors (see below), whose sum is σ = 36957883116. Its totient is φ = 29668368960.

The previous prime is 33212103277. The next prime is 33212103307. The reversal of 33212103301 is 10330121233.

It can be written as a sum of positive squares in 2 ways, for example, as 6268522276 + 26943581025 = 79174^2 + 164145^2 .

It is not a de Polignac number, because 33212103301 - 213 = 33212095109 is a prime.

It is a super-2 number, since 2×332121033012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33212103307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1316736 + ... + 1341721.

It is an arithmetic number, because the mean of its divisors is an integer number (3079823593).

Almost surely, 233212103301 is an apocalyptic number.

33212103301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33212103301 is a deficient number, since it is larger than the sum of its proper divisors (3745779815).

33212103301 is a wasteful number, since it uses less digits than its factorization.

33212103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658532 (or 2658501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 33212103301 its reverse (10330121233), we get a palindrome (43542224534).

The spelling of 33212103301 in words is "thirty-three billion, two hundred twelve million, one hundred three thousand, three hundred one".

Divisors: 1 13 31 403 961 12493 2658457 34559941 82412167 1071358171 2554777177 33212103301