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1021221120020 = 225291939122933
BaseRepresentation
bin11101101110001011000…
…01011010100000010100
310121121221122201000111012
432313011201122200110
5113212430101320040
62101050440431352
7133531545203423
oct16670541324024
93547848630435
101021221120020
11364108776512
12145b04a78558
13753ba950aaa
14375da9992ba
151b86e7e0865
hexedc585a814

1021221120020 has 48 divisors (see below), whose sum is σ = 2230009986960. Its totient is φ = 392359059456.

The previous prime is 1021221120011. The next prime is 1021221120043. The reversal of 1021221120020 is 200211221201.

It can be written as a sum of positive squares in 8 ways, for example, as 179704775056 + 841516344964 = 423916^2 + 917342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021221119977 and 1021221120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449527 + ... + 4673406.

It is an arithmetic number, because the mean of its divisors is an integer number (46458541395).

Almost surely, 21021221120020 is an apocalyptic number.

1021221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021221120020 is an abundant number, since it is smaller than the sum of its proper divisors (1208788866940).

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

1021221120020 is a wasteful number, since it uses less digits than its factorization.

1021221120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123164 (or 9123162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021221120020 its reverse (200211221201), we get a palindrome (1221432341221).

The spelling of 1021221120020 in words is "one trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 193 290 386 580 772 965 1930 3860 5597 11194 22388 27985 55970 111940 9122933 18245866 36491732 45614665 91229330 182458660 264565057 529130114 1058260228 1322825285 1760726069 2645650570 3521452138 5291301140 7042904276 8803630345 17607260690 35214521380 51061056001 102122112002 204244224004 255305280005 510610560010 1021221120020