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1220330310021 = 325931471315541
BaseRepresentation
bin10001110000100001010…
…110101100100110000101
311022122212220202212101200
4101300201112230212011
5124443214024410041
62332340105413113
7154110631325634
oct21604126544605
94278786685350
101220330310021
114305a27119a9
1217861219a199
138b0cc543554
14430c863351b
1521b249511b6
hex11c215ac985

1220330310021 has 24 divisors (see below), whose sum is σ = 1765905477336. Its totient is φ = 812074152960.

The previous prime is 1220330309981. The next prime is 1220330310047. The reversal of 1220330310021 is 1200130330221.

1220330310021 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 330 + 310 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 537912230625 + 682418079396 = 733425^2 + 826086^2 .

It is not a de Polignac number, because 1220330310021 - 237 = 1082891356549 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220330309976 and 1220330310003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220330310091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78515511 + ... + 78531051.

It is an arithmetic number, because the mean of its divisors is an integer number (73579394889).

Almost surely, 21220330310021 is an apocalyptic number.

It is an amenable number.

1220330310021 is a deficient number, since it is larger than the sum of its proper divisors (545575167315).

1220330310021 is a wasteful number, since it uses less digits than its factorization.

1220330310021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30853 (or 30850 counting only the distinct ones).

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

Adding to 1220330310021 its reverse (1200130330221), we get a palindrome (2420460640242).

It can be divided in two parts, 1220330 and 310021, that added together give a palindrome (1530351).

The spelling of 1220330310021 in words is "one trillion, two hundred twenty billion, three hundred thirty million, three hundred ten thousand, twenty-one".

Divisors: 1 3 9 593 1779 5337 14713 15541 44139 46623 132417 139869 8724809 9215813 26174427 27647439 78523281 82942317 228654733 685964199 2057892597 135592256669 406776770007 1220330310021