Search a number
-
+
332104244100 = 223522234964189
BaseRepresentation
bin1001101010100101111…
…01001001101110000100
31011202012220201121100220
410311102331021232010
520420122141302400
6412322214304340
732664565332546
oct4652275115604
91152186647326
10332104244100
11118932208042
12544450580b0
1325418139555
1412106c1d696
15898addc7a0
hex4d52f49b84

332104244100 has 72 divisors (see below), whose sum is σ = 965197390080. Its totient is φ = 88163978880.

The previous prime is 332104244093. The next prime is 332104244113. The reversal of 332104244100 is 1442401233.

It is a super-2 number, since 2×3321042441002 (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, 2415195 + ... + 2548994.

Almost surely, 2332104244100 is an apocalyptic number.

332104244100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332104244100 is an abundant number, since it is smaller than the sum of its proper divisors (633093145980).

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

332104244100 is a wasteful number, since it uses less digits than its factorization.

332104244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964429 (or 4964422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 332104244100 its reverse (1442401233), we get a palindrome (333546645333).

The spelling of 332104244100 in words is "three hundred thirty-two billion, one hundred four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 2230 2676 3345 4460 5575 6690 11150 13380 16725 22300 33450 66900 4964189 9928378 14892567 19856756 24820945 29785134 49641890 59570268 74462835 99283780 124104725 148925670 248209450 297851340 372314175 496418900 744628350 1107014147 1489256700 2214028294 3321042441 4428056588 5535070735 6642084882 11070141470 13284169764 16605212205 22140282940 27675353675 33210424410 55350707350 66420848820 83026061025 110701414700 166052122050 332104244100