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1320220200312 = 2333132473732063
BaseRepresentation
bin10011001101100011010…
…000011000110101111000
311200012201102020001112000
4103031203100120311320
5133112302332402222
62450300100421000
7164245200354606
oct23154320306570
94605642201460
101320220200312
114699a1980a42
12193a4b0a7760
139765b2aca00
1447c82bd0876
152451e18a9ac
hex13363418d78

1320220200312 has 384 divisors, whose sum is σ = 4068411494400. Its totient is φ = 396320491008.

The previous prime is 1320220200287. The next prime is 1320220200337. The reversal of 1320220200312 is 2130020220231.

1320220200312 is a `hidden beast` number, since 132 + 0 + 2 + 20 + 200 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (1320220200287) and next prime (1320220200337).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 639950593 + ... + 639952655.

It is an arithmetic number, because the mean of its divisors is an integer number (10594821600).

Almost surely, 21320220200312 is an apocalyptic number.

1320220200312 is a gapful number since it is divisible by the number (12) 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 1320220200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034205747200).

1320220200312 is an abundant number, since it is smaller than the sum of its proper divisors (2748191294088).

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

1320220200312 is a wasteful number, since it uses less digits than its factorization.

1320220200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2501 counting only the distinct ones).

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

Adding to 1320220200312 its reverse (2130020220231), we get a palindrome (3450240420543).

The spelling of 1320220200312 in words is "one trillion, three hundred twenty billion, two hundred twenty million, two hundred thousand, three hundred twelve".