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1020135321 = 32318344053
BaseRepresentation
bin111100110011100…
…000011110011001
32122002120020120200
4330303200132121
54042123312241
6245121012413
734165002312
oct7463403631
92562506520
101020135321
11483926847
12245784109
1313346a08a
14996ad609
155e85c4b6
hex3cce0799

1020135321 has 24 divisors (see below), whose sum is σ = 1539422976. Its totient is φ = 650207520.

The previous prime is 1020135301. The next prime is 1020135331. The reversal of 1020135321 is 1235310201.

It is not a de Polignac number, because 1020135321 - 226 = 953026457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020135294 and 1020135303.

It is not an unprimeable number, because it can be changed into a prime (1020135301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131 + ... + 45183.

It is an arithmetic number, because the mean of its divisors is an integer number (64142624).

Almost surely, 21020135321 is an apocalyptic number.

It is an amenable number.

1020135321 is a deficient number, since it is larger than the sum of its proper divisors (519287655).

1020135321 is a wasteful number, since it uses less digits than its factorization.

1020135321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173 (or 44170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1020135321 is about 31939.5573075145. The cubic root of 1020135321 is about 1006.6672230138.

Adding to 1020135321 its reverse (1235310201), we get a palindrome (2255445522).

The spelling of 1020135321 in words is "one billion, twenty million, one hundred thirty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 31 83 93 249 279 747 2573 7719 23157 44053 132159 396477 1365643 3656399 4096929 10969197 12290787 32907591 113348369 340045107 1020135321