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2023313100000 = 2535541271607
BaseRepresentation
bin11101011100010110110…
…110111100110011100000
321011102112011120001000020
4131130112312330303200
5231122221123200000
64145255221353440
7266115404404443
oct35342666746340
97142464501006
102023313100000
1171009a551985
1228816b568880
13118a4a459bba
146dd00ba165a
153796ea37ba0
hex1d716dbcce0

2023313100000 has 576 divisors, whose sum is σ = 6836826415104. Its totient is φ = 523584000000.

The previous prime is 2023313099987. The next prime is 2023313100013. The reversal of 2023313100000 is 13133202.

It is an interprime number because it is at equal distance from previous prime (2023313099987) and next prime (2023313100013).

It is a super-2 number, since 2×20233131000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 3333299697 + ... + 3333300303.

It is an arithmetic number, because the mean of its divisors is an integer number (11869490304).

Almost surely, 22023313100000 is an apocalyptic number.

2023313100000 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 2023313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418413207552).

2023313100000 is an abundant number, since it is smaller than the sum of its proper divisors (4813513315104).

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

2023313100000 is an equidigital number, since it uses as much as digits as its factorization.

2023313100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2023313100000 its reverse (13133202), we get a palindrome (2023326233202).

The spelling of 2023313100000 in words is "two trillion, twenty-three billion, three hundred thirteen million, one hundred thousand".