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1020331320201 = 32412765125529
BaseRepresentation
bin11101101100100000111…
…11000110001110001001
310121112122122101111121100
432312100133012032021
5113204114304221301
62100422253132013
7133500522060024
oct16662037061611
93545578344540
101020331320201
113637a1480766
121458b6a8a009
13752a84b911b
14375547361bb
151b81b62b286
hexed907c6389

1020331320201 has 12 divisors (see below), whose sum is σ = 1509758539380. Its totient is φ = 663630126720.

The previous prime is 1020331320181. The next prime is 1020331320209. The reversal of 1020331320201 is 1020231330201.

1020331320201 is a `hidden beast` number, since 10 + 2 + 0 + 331 + 320 + 2 + 0 + 1 = 666.

1020331320201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173289038400 + 847042281801 = 416280^2 + 920349^2 .

It is not a de Polignac number, because 1020331320201 - 210 = 1020331319177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020331320209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1382562396 + ... + 1382563133.

It is an arithmetic number, because the mean of its divisors is an integer number (125813211615).

Almost surely, 21020331320201 is an apocalyptic number.

It is an amenable number.

1020331320201 is a deficient number, since it is larger than the sum of its proper divisors (489427219179).

1020331320201 is a wasteful number, since it uses less digits than its factorization.

1020331320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765125576 (or 2765125573 counting only the distinct ones).

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

Adding to 1020331320201 its reverse (1020231330201), we get a palindrome (2040562650402).

The spelling of 1020331320201 in words is "one trillion, twenty billion, three hundred thirty-one million, three hundred twenty thousand, two hundred one".

Divisors: 1 3 9 41 123 369 2765125529 8295376587 24886129761 113370146689 340110440067 1020331320201