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1020131321 = 11238338917
BaseRepresentation
bin111100110011011…
…111011111111001
32122002120001002112
4330303133133321
54042123200241
6245120542105
734164654536
oct7463373771
92562501075
101020131321
11483923840
12245781935
13133468301
14996abd8d
155e85b1eb
hex3ccdf7f9

1020131321 has 8 divisors (see below), whose sum is σ = 1113366144. Its totient is φ = 926979120.

The previous prime is 1020131317. The next prime is 1020131383. The reversal of 1020131321 is 1231310201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020131321 - 22 = 1020131317 is a prime.

It is a super-3 number, since 3×10201313213 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020131296 and 1020131305.

It is not an unprimeable number, because it can be changed into a prime (1020131311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6755 + ... + 45671.

It is an arithmetic number, because the mean of its divisors is an integer number (139170768).

Almost surely, 21020131321 is an apocalyptic number.

1020131321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020131321 is a deficient number, since it is larger than the sum of its proper divisors (93234823).

1020131321 is a wasteful number, since it uses less digits than its factorization.

1020131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41311.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1020131321 is about 31939.4946891775. The cubic root of 1020131321 is about 1006.6659072818.

Adding to 1020131321 its reverse (1231310201), we get a palindrome (2251441522).

The spelling of 1020131321 in words is "one billion, twenty million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 2383 26213 38917 428087 92739211 1020131321