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2123012030320 = 24519127151173421
BaseRepresentation
bin11110111001001101011…
…000001011111101110000
321111221212100200110022001
4132321031120023331300
5234240412034432240
64303144231423344
7306245134336666
oct36711530137560
97457770613261
102123012030320
11749400a42965
122a3554524b54
131252787859ac
1474a7bc50c36
153a35760189a
hex1ee4d60bf70

2123012030320 has 320 divisors, whose sum is σ = 5314448424960. Its totient is φ = 786433536000.

The previous prime is 2123012030317. The next prime is 2123012030323. The reversal of 2123012030320 is 230302103212.

It is an interprime number because it is at equal distance from previous prime (2123012030317) and next prime (2123012030323).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123012030323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5042783710 + ... + 5042784130.

It is an arithmetic number, because the mean of its divisors is an integer number (16607651328).

Almost surely, 22123012030320 is an apocalyptic number.

2123012030320 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 2123012030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657224212480).

2123012030320 is an abundant number, since it is smaller than the sum of its proper divisors (3191436394640).

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

2123012030320 is a wasteful number, since it uses less digits than its factorization.

2123012030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2123012030320 its reverse (230302103212), we get a palindrome (2353314133532).

The spelling of 2123012030320 in words is "two trillion, one hundred twenty-three billion, twelve million, thirty thousand, three hundred twenty".