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1331303220 = 223251343101131
BaseRepresentation
bin100111101011010…
…0001001100110100
310102210002012200200
41033112201030310
510211303200340
6340034240500
744663614332
oct11726411464
93383065620
101331303220
116235388a5
12311a26130
13182a781b0
14c8b4cb52
157bd25330
hex4f5a1334

1331303220 has 288 divisors, whose sum is σ = 4528427904. Its totient is φ = 314496000.

The previous prime is 1331303213. The next prime is 1331303231. The reversal of 1331303220 is 223031331.

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 = 1331303193 and 1331303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10162555 + ... + 10162685.

It is an arithmetic number, because the mean of its divisors is an integer number (15723708).

Almost surely, 21331303220 is an apocalyptic number.

1331303220 is a gapful number since it is divisible by the number (10) 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 1331303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264213952).

1331303220 is an abundant number, since it is smaller than the sum of its proper divisors (3197124684).

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

1331303220 is a wasteful number, since it uses less digits than its factorization.

1331303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331303220 is about 36487.0281058899. The cubic root of 1331303220 is about 1100.0835253380.

Adding to 1331303220 its reverse (223031331), we get a palindrome (1554334551).

The spelling of 1331303220 in words is "one billion, three hundred thirty-one million, three hundred three thousand, two hundred twenty".