Search a number
-
+
332122021100 = 225241784110331
BaseRepresentation
bin1001101010101000000…
…00111101110011101100
31011202021011011202211022
410311110000331303230
520420141214133400
6412324051313312
732665202412542
oct4652400756354
91152234152738
10332122021100
1111894124a181
125444abab838
132541ba21b9c
1412109329d92
15898c74eb85
hex4d5403dcec

332122021100 has 72 divisors (see below), whose sum is σ = 738448580016. Its totient is φ = 129579520000.

The previous prime is 332122021081. The next prime is 332122021151. The reversal of 332122021100 is 1120221233.

It is a super-2 number, since 2×3321220211002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32142935 + ... + 32153265.

It is an arithmetic number, because the mean of its divisors is an integer number (10256230278).

Almost surely, 2332122021100 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 332122021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369224290008).

332122021100 is an abundant number, since it is smaller than the sum of its proper divisors (406326558916).

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

332122021100 is a wasteful number, since it uses less digits than its factorization.

332122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18227 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 332122021100 its reverse (1120221233), we get a palindrome (333242242333).

The spelling of 332122021100 in words is "three hundred thirty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 7841 10331 15682 20662 31364 39205 41324 51655 78410 103310 156820 196025 206620 258275 321481 392050 423571 516550 642962 784100 847142 1033100 1285924 1607405 1694284 2117855 3214810 4235710 6429620 8037025 8471420 10589275 16074050 21178550 32148100 42357100 81005371 162010742 324021484 405026855 810053710 1620107420 2025134275 3321220211 4050268550 6642440422 8100537100 13284880844 16606101055 33212202110 66424404220 83030505275 166061010550 332122021100