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1033022100020 = 225181285365221
BaseRepresentation
bin11110000100001001110…
…10100101001000110100
310122202102002022220201112
433002010322211020310
5113411112124200040
62110321440414152
7134430151654061
oct17020472451064
93582362286645
101033022100020
11369114054449
12148259017358
137654b7b23b1
1437dd9dabc68
151bd1084c365
hexf084ea5234

1033022100020 has 24 divisors (see below), whose sum is σ = 2181331756968. Its totient is φ = 410925916800.

The previous prime is 1033022100013. The next prime is 1033022100037. The reversal of 1033022100020 is 200012203301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22506600484 + 1010515499536 = 150022^2 + 1005244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1033022099968 and 1033022100004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142678991 + ... + 142686230.

It is an arithmetic number, because the mean of its divisors is an integer number (90888823207).

Almost surely, 21033022100020 is an apocalyptic number.

1033022100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033022100020 is an abundant number, since it is smaller than the sum of its proper divisors (1148309656948).

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

1033022100020 is a wasteful number, since it uses less digits than its factorization.

1033022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285365411 (or 285365409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1033022100020 its reverse (200012203301), we get a palindrome (1233034303321).

The spelling of 1033022100020 in words is "one trillion, thirty-three billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 285365221 570730442 1141460884 1426826105 2853652210 5707304420 51651105001 103302210002 206604420004 258255525005 516511050010 1033022100020