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1302310021320 = 23325711232042647
BaseRepresentation
bin10010111100110111101…
…110011110100011001000
311121111111020001200202100
4102330313232132203020
5132314112331140240
62434134543233400
7163042312351410
oct22746756364310
94544436050670
101302310021320
11462341068420
12190490ba8860
1395a6586aa69
14470642a5640
1523d21b25e30
hex12f37b9e8c8

1302310021320 has 384 divisors, whose sum is σ = 5506325360640. Its totient is φ = 258844101120.

The previous prime is 1302310021261. The next prime is 1302310021339. The reversal of 1302310021320 is 231200132031.

1302310021320 is a `hidden beast` number, since 1 + 30 + 2 + 310 + 0 + 2 + 1 + 320 = 666.

It is a super-2 number, since 2×13023100213202 (a number of 25 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 = 1302310021293 and 1302310021302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383764 + ... + 1658883.

It is an arithmetic number, because the mean of its divisors is an integer number (14339388960).

Almost surely, 21302310021320 is an apocalyptic number.

1302310021320 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 1302310021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753162680320).

1302310021320 is an abundant number, since it is smaller than the sum of its proper divisors (4204015339320).

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

1302310021320 is a wasteful number, since it uses less digits than its factorization.

1302310021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042705 (or 2042698 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1302310021320 its reverse (231200132031), we get a palindrome (1533510153351).

The spelling of 1302310021320 in words is "one trillion, three hundred two billion, three hundred ten million, twenty-one thousand, three hundred twenty".