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332102012220 = 2232511374796451
BaseRepresentation
bin1001101010100101101…
…00101000110100111100
31011202012202112012210200
410311102310220310330
520420121103342340
6412322054403500
732664540345606
oct4652264506474
91152182465720
10332102012220
11118930a23210
1254444360590
1325417837704
14121067dc176
15898aaeb330
hex4d52d28d3c

332102012220 has 288 divisors, whose sum is σ = 1152683191296. Its totient is φ = 76666176000.

The previous prime is 332102012201. The next prime is 332102012227. The reversal of 332102012220 is 22210201233.

332102012220 is a `hidden beast` number, since 33 + 210 + 201 + 2 + 220 = 666.

It is a super-2 number, since 2×3321020122202 (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 a junction number, because it is equal to n+sod(n) for n = 332102012193 and 332102012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332102012227) 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 95 ways as a sum of consecutive naturals, for example, 3394995 + ... + 3491445.

It is an arithmetic number, because the mean of its divisors is an integer number (4002372192).

Almost surely, 2332102012220 is an apocalyptic number.

332102012220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332102012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576341595648).

332102012220 is an abundant number, since it is smaller than the sum of its proper divisors (820581179076).

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

332102012220 is a wasteful number, since it uses less digits than its factorization.

332102012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96561 (or 96556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 332102012220 its reverse (22210201233), we get a palindrome (354312213453).

The spelling of 332102012220 in words is "three hundred thirty-two billion, one hundred two million, twelve thousand, two hundred twenty".