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1320312021210 = 234572135348281
BaseRepresentation
bin10011001101101000101…
…110101010000011011010
311200012221211000001010000
4103031220232222003122
5133112444334134320
62450313140433430
7164250364003200
oct23155056520332
94605854001100
101320312021210
11469a39796386
12193a759a8876
139767431b6c0
1447c91093070
1524527276c90
hex13368baa0da

1320312021210 has 480 divisors, whose sum is σ = 4531476982032. Its totient is φ = 273309603840.

The previous prime is 1320312021179. The next prime is 1320312021211. The reversal of 1320312021210 is 121202130231.

1320312021210 is a `hidden beast` number, since 1 + 320 + 3 + 120 + 212 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 420008982561 + 900303038649 = 648081^2 + 948843^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1320312021211) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27322270 + ... + 27370550.

Almost surely, 21320312021210 is an apocalyptic number.

1320312021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320312021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265738491016).

1320312021210 is an abundant number, since it is smaller than the sum of its proper divisors (3211164960822).

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

1320312021210 is a wasteful number, since it uses less digits than its factorization.

1320312021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48380 (or 48364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320312021210 its reverse (121202130231), we get a palindrome (1441514151441).

The spelling of 1320312021210 in words is "one trillion, three hundred twenty billion, three hundred twelve million, twenty-one thousand, two hundred ten".