Search a number
-
+
332130032322 = 231118289275153
BaseRepresentation
bin1001101010101000111…
…11100001101011000010
31011202021201020210011020
410311110133201223002
520420200242013242
6412324535130310
732665330460064
oct4652437415302
91152251223136
10332130032322
11118945821120
1254451813996
132542059845a
141210a413734
15898d2d36ec
hex4d547e1ac2

332130032322 has 32 divisors (see below), whose sum is σ = 724689599040. Its totient is φ = 100639595520.

The previous prime is 332130032243. The next prime is 332130032329. The reversal of 332130032322 is 223230031233.

It is a super-2 number, since 2×3321300323222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332130032292 and 332130032301.

It is not an unprimeable number, because it can be changed into a prime (332130032329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069498 + ... + 1344650.

It is an arithmetic number, because the mean of its divisors is an integer number (22646549970).

Almost surely, 2332130032322 is an apocalyptic number.

332130032322 is an abundant number, since it is smaller than the sum of its proper divisors (392559566718).

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

332130032322 is a wasteful number, since it uses less digits than its factorization.

332130032322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293458.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332130032322 its reverse (223230031233), we get a palindrome (555360063555).

It can be divided in two parts, 33213003 and 2322, that added together give a triangular number (33215325 = T8150).

The spelling of 332130032322 in words is "three hundred thirty-two billion, one hundred thirty million, thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 18289 36578 54867 109734 201179 275153 402358 550306 603537 825459 1207074 1650918 3026683 6053366 9080049 18160098 5032273217 10064546434 15096819651 30193639302 55355005387 110710010774 166065016161 332130032322