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20200012031232 = 28321122915491613
BaseRepresentation
bin1001001011111001011101…
…00010101010010100000000
32122112002202120101102220100
410211330232202222110000
510121424111034444412
6110543431334042400
74153255062155235
oct445745642522400
978462676342810
1020200012031232
1164888601a6500
122322a931a9400
13b36b11c56187
144db985b9178c
152506ae3d4edc
hex125f2e8aa500

20200012031232 has 648 divisors, whose sum is σ = 66308984469000. Its totient is φ = 5902662205440.

The previous prime is 20200012031209. The next prime is 20200012031299. The reversal of 20200012031232 is 23213021000202.

20200012031232 is a `hidden beast` number, since 2 + 0 + 200 + 0 + 120 + 312 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2858317710336 + 17341694320896 = 1690656^2 + 4164336^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12523255258 + ... + 12523256870.

Almost surely, 220200012031232 is an apocalyptic number.

20200012031232 is a gapful number since it is divisible by the number (22) 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 20200012031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33154492234500).

20200012031232 is an abundant number, since it is smaller than the sum of its proper divisors (46108972437768).

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

20200012031232 is a wasteful number, since it uses less digits than its factorization.

20200012031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20200012031232 its reverse (23213021000202), we get a palindrome (43413033031434).

The spelling of 20200012031232 in words is "twenty trillion, two hundred billion, twelve million, thirty-one thousand, two hundred thirty-two".