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20101331442420 = 22325111674063569
BaseRepresentation
bin1001001001000001101001…
…01110000101101011110100
32122011200001100110010112200
410210200310232011223310
510113320011322124140
6110430231342344500
74143162506044464
oct444406456055364
978150040403480
1020101331442420
11644aa21616578
12230793328b130
13b2a7168b9b17
144d6ca4065ba4
1524cd35e22030
hex124834b85af4

20101331442420 has 36 divisors (see below), whose sum is σ = 60974038709220. Its totient is φ = 5360355051264.

The previous prime is 20101331442403. The next prime is 20101331442469. The reversal of 20101331442420 is 2424413310102.

20101331442420 is a `hidden beast` number, since 2 + 0 + 101 + 3 + 314 + 4 + 242 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2237758695396 + 17863572747024 = 1495914^2 + 4226532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55837031605 + ... + 55837031964.

Almost surely, 220101331442420 is an apocalyptic number.

20101331442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101331442420 is an abundant number, since it is smaller than the sum of its proper divisors (40872707266800).

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

20101331442420 is a wasteful number, since it uses less digits than its factorization.

20101331442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111674063584 (or 111674063579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20101331442420 its reverse (2424413310102), we get a palindrome (22525744752522).

The spelling of 20101331442420 in words is "twenty trillion, one hundred one billion, three hundred thirty-one million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 111674063569 223348127138 335022190707 446696254276 558370317845 670044381414 1005066572121 1116740635690 1340088762828 1675110953535 2010133144242 2233481271380 3350221907070 4020266288484 5025332860605 6700443814140 10050665721210 20101331442420