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20103211332000 = 2532533715092501
BaseRepresentation
bin1001001001000101001001…
…10001010011000110100000
32122011211220100210102020200
410210202210301103012200
510113332334100111000
6110431142055105200
74143260213615226
oct444424461230640
978154810712220
1020103211332000
1164507a6786425
122308178972200
13b2a9561cbc14
144d70019b6b16
1524cde5eab500
hex1248a4c531a0

20103211332000 has 288 divisors, whose sum is σ = 73274580170064. Its totient is φ = 5215968000000.

The previous prime is 20103211331981. The next prime is 20103211332013. The reversal of 20103211332000 is 23311230102.

20103211332000 is a `hidden beast` number, since 2 + 0 + 10 + 321 + 1 + 332 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 140652001296 + 19962559330704 = 375036^2 + 4467948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6214251 + ... + 8878250.

Almost surely, 220103211332000 is an apocalyptic number.

20103211332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20103211332000 is an abundant number, since it is smaller than the sum of its proper divisors (53171368838064).

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

20103211332000 is a wasteful number, since it uses less digits than its factorization.

20103211332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15092569 (or 15092548 counting only the distinct ones).

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

Adding to 20103211332000 its reverse (23311230102), we get a palindrome (20126522562102).

The spelling of 20103211332000 in words is "twenty trillion, one hundred three billion, two hundred eleven million, three hundred thirty-two thousand".