Search a number
-
+
332122230120300 = 223521151961836751
BaseRepresentation
bin100101110000100000011101…
…1100011000101111101101100
31121112221120112021000122201220
41023201000323203011331230
5322012442311402322200
63134210502440103340
7126646016321435244
oct11341007343057554
91545846467018656
10332122230120300
1196908279548904
12312bb61aa64b50
1311341cb830baa9
145c02b31c56b24
15285e3dc2874a0
hex12e103b8c5f6c

332122230120300 has 72 divisors (see below), whose sum is σ = 961775194447872. Its totient is φ = 88488981000000.

The previous prime is 332122230120283. The next prime is 332122230120323. The reversal of 332122230120300 is 3021032221233.

It is a super-2 number, since 2×3321222301203002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480573076 + ... + 481263675.

It is an arithmetic number, because the mean of its divisors is an integer number (13357988811776).

Almost surely, 2332122230120300 is an apocalyptic number.

332122230120300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332122230120300 is an abundant number, since it is smaller than the sum of its proper divisors (629652964327572).

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

332122230120300 is a wasteful number, since it uses less digits than its factorization.

332122230120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961837919 (or 961837912 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 332122230120300 its reverse (3021032221233), we get a palindrome (335143262341533).

The spelling of 332122230120300 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, two hundred thirty million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1151 2302 3453 4604 5755 6906 11510 13812 17265 23020 28775 34530 57550 69060 86325 115100 172650 345300 961836751 1923673502 2885510253 3847347004 4809183755 5771020506 9618367510 11542041012 14427551265 19236735020 24045918775 28855102530 48091837550 57710205060 72137756325 96183675100 144275512650 288551025300 1107074100401 2214148200802 3321222301203 4428296401604 5535370502005 6642444602406 11070741004010 13284889204812 16606111506015 22141482008020 27676852510025 33212223012030 55353705020050 66424446024060 83030557530075 110707410040100 166061115060150 332122230120300