Search a number
-
+
332132102010 = 23253690356689
BaseRepresentation
bin1001101010101001001…
…11011010111101111010
31011202021212010221020100
410311110213122331322
520420201304231020
6412325051340230
732665354200132
oct4652447327572
91152255127210
10332132102010
11118946a05105
1254452451676
1325420b41517
141210a7d1ac2
15898d591a90
hex4d549daf7a

332132102010 has 24 divisors (see below), whose sum is σ = 863543465460. Its totient is φ = 88568560512.

The previous prime is 332132101997. The next prime is 332132102047. The reversal of 332132102010 is 10201231233.

332132102010 is a `hidden beast` number, since 3 + 321 + 321 + 0 + 20 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 312614056161 + 19518045849 = 559119^2 + 139707^2 .

It is a super-2 number, since 2×3321321020102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845178255 + ... + 1845178434.

Almost surely, 2332132102010 is an apocalyptic number.

332132102010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332132102010 is an abundant number, since it is smaller than the sum of its proper divisors (531411363450).

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

332132102010 is a wasteful number, since it uses less digits than its factorization.

332132102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690356702 (or 3690356699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332132102010 its reverse (10201231233), we get a palindrome (342333333243).

The spelling of 332132102010 in words is "three hundred thirty-two billion, one hundred thirty-two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3690356689 7380713378 11071070067 18451783445 22142140134 33213210201 36903566890 55355350335 66426420402 110710700670 166066051005 332132102010