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21020461134228 = 22336718170922637
BaseRepresentation
bin1001100011110001101010…
…00111100111000110010100
32202102112111002010020122000
410301320311013213012110
510223344401022243403
6112412355545435300
74266451423366323
oct461706507470624
982375432106560
1021020461134228
116774800342a16
122435aa5a9bb30
13b962b4651a9a
14529577d060ba
15266bccaa57a3
hex131e351e7194

21020461134228 has 192 divisors, whose sum is σ = 55697376134400. Its totient is φ = 6854122851840.

The previous prime is 21020461134227. The next prime is 21020461134241. The reversal of 21020461134228 is 82243116402012.

21020461134228 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 0 + 4 + 611 + 34 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21020461134192 and 21020461134201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020461134227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928577326 + ... + 928599962.

It is an arithmetic number, because the mean of its divisors is an integer number (290090500700).

Almost surely, 221020461134228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020461134228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27848688067200).

21020461134228 is an abundant number, since it is smaller than the sum of its proper divisors (34676915000172).

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

21020461134228 is a wasteful number, since it uses less digits than its factorization.

21020461134228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23607 (or 23599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21020461134228 in words is "twenty-one trillion, twenty billion, four hundred sixty-one million, one hundred thirty-four thousand, two hundred twenty-eight".