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1020131 = 72109191
BaseRepresentation
bin11111001000011100011
31220211100122
43321003203
5230121011
633510455
711446100
oct3710343
91824318
101020131
11637492
1241242b
13299438
141c7aa7
151523db
hexf90e3

1020131 has 12 divisors (see below), whose sum is σ = 1203840. Its totient is φ = 861840.

The previous prime is 1020113. The next prime is 1020137. The reversal of 1020131 is 1310201.

It is not a de Polignac number, because 1020131 - 214 = 1003747 is a prime.

It is a super-2 number, since 2×10201312 = 2081334514322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5246 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (100320).

21020131 is an apocalyptic number.

1020131 is a deficient number, since it is larger than the sum of its proper divisors (183709).

1020131 is a wasteful number, since it uses less digits than its factorization.

1020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1020131 is about 1010.0153464181. The cubic root of 1020131 is about 100.6665801694. Note that the first 3 decimals are identical.

Adding to 1020131 its reverse (1310201), we get a palindrome (2330332).

The spelling of 1020131 in words is "one million, twenty thousand, one hundred thirty-one".

Divisors: 1 7 49 109 191 763 1337 5341 9359 20819 145733 1020131