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20311032100320 = 253651314989899
BaseRepresentation
bin1001001111001000001111…
…10110100111010111100000
32122220201022202020022000000
410213210013312213113200
510130233443204202240
6111110432003300000
74164265211164113
oct447440766472740
978821282208000
1020311032100320
116520951127615
1223404b767a600
13b44425898c50
145030b862857a
1525350ad25430
hex127907da75e0

20311032100320 has 672 divisors, whose sum is σ = 77999343660000. Its totient is φ = 4966028808192.

The previous prime is 20311032100319. The next prime is 20311032100343. The reversal of 20311032100320 is 2300123011302.

20311032100320 is a `hidden beast` number, since 2 + 0 + 31 + 103 + 210 + 0 + 320 = 666.

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 = 20311032100293 and 20311032100302.

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 111 ways as a sum of consecutive naturals, for example, 225886731 + ... + 225976629.

It is an arithmetic number, because the mean of its divisors is an integer number (116070451875).

Almost surely, 220311032100320 is an apocalyptic number.

20311032100320 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 20311032100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999671830000).

20311032100320 is an abundant number, since it is smaller than the sum of its proper divisors (57688311559680).

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

20311032100320 is a wasteful number, since it uses less digits than its factorization.

20311032100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90094 (or 90071 counting only the distinct ones).

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

Adding to 20311032100320 its reverse (2300123011302), we get a palindrome (22611155111622).

The spelling of 20311032100320 in words is "twenty trillion, three hundred eleven billion, thirty-two million, one hundred thousand, three hundred twenty".