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1020331320021 = 3213173391151279
BaseRepresentation
bin11101101100100000111…
…11000110001011010101
310121112122122101111100200
432312100133012023111
5113204114304220041
62100422253131113
7133500522056346
oct16662037061325
93545578344320
101020331320021
113637a1480612
121458b6a89a99
13752a84b9010
14375547360cd
151b81b62b1b6
hexed907c62d5

1020331320021 has 48 divisors (see below), whose sum is σ = 1681052405760. Its totient is φ = 590782947840.

The previous prime is 1020331319993. The next prime is 1020331320059. The reversal of 1020331320021 is 1200231330201.

1020331320021 is a `hidden beast` number, since 10 + 2 + 0 + 331 + 320 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 1020331320021 - 210 = 1020331318997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020331319976 and 1020331320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020331320121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6669060 + ... + 6820338.

It is an arithmetic number, because the mean of its divisors is an integer number (35021925120).

Almost surely, 21020331320021 is an apocalyptic number.

It is an amenable number.

1020331320021 is a deficient number, since it is larger than the sum of its proper divisors (660721085739).

1020331320021 is a wasteful number, since it uses less digits than its factorization.

1020331320021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154706 (or 154703 counting only the distinct ones).

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

Adding to 1020331320021 its reverse (1200231330201), we get a palindrome (2220562650222).

The spelling of 1020331320021 in words is "one trillion, twenty billion, three hundred thirty-one million, three hundred twenty thousand, twenty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 3391 10173 30519 44083 57647 132249 151279 172941 396747 453837 518823 749411 1361511 1966627 2248233 2571743 5899881 6744699 7715229 17699643 23145687 33432659 100297977 300893931 512987089 1538961267 4616883801 6668832157 8720780513 20006496471 26162341539 60019489413 78487024617 113370146669 340110440007 1020331320021