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20302131213000 = 23325371337669971
BaseRepresentation
bin1001001110110111101010…
…10100011011001011001000
32122212212100102122101000200
410213123311110123023020
510130112231042304000
6111102400442332200
74163531510661240
oct447336524331310
978785312571020
1020302131213000
1165180a388119a
12233a8327ba060
13b4363780b610
145028b2452b20
152531896c5500
hex1276f551b2c8

20302131213000 has 768 divisors, whose sum is σ = 86739613309440. Its totient is φ = 4167749376000.

The previous prime is 20302131212989. The next prime is 20302131213011. The reversal of 20302131213000 is 31213120302.

20302131213000 is a `hidden beast` number, since 2 + 0 + 30 + 21 + 312 + 1 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20302131212989) and next prime (20302131213011).

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

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 191 ways as a sum of consecutive naturals, for example, 29968015 + ... + 30637985.

It is an arithmetic number, because the mean of its divisors is an integer number (112942204830).

Almost surely, 220302131213000 is an apocalyptic number.

20302131213000 is a gapful number since it is divisible by the number (20) 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 20302131213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43369806654720).

20302131213000 is an abundant number, since it is smaller than the sum of its proper divisors (66437482096440).

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

20302131213000 is a wasteful number, since it uses less digits than its factorization.

20302131213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670055 (or 670038 counting only the distinct ones).

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

Adding to 20302131213000 its reverse (31213120302), we get a palindrome (20333344333302).

The spelling of 20302131213000 in words is "twenty trillion, three hundred two billion, one hundred thirty-one million, two hundred thirteen thousand".