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1023013131 = 37217409369
BaseRepresentation
bin111100111110011…
…111000100001011
32122021222110012020
4330332133010023
54043342410011
6245302415523
734231316400
oct7476370413
92567873166
101023013131
114855119a8
122467315a3
13133c36c1a
1499c1c2a7
155ec2a006
hex3cf9f10b

1023013131 has 24 divisors (see below), whose sum is σ = 1680054480. Its totient is φ = 550190592.

The previous prime is 1023013091. The next prime is 1023013157. The reversal of 1023013131 is 1313103201.

It is not a de Polignac number, because 1023013131 - 27 = 1023013003 is a prime.

It is a super-2 number, since 2×10230131312 = 2093111732396846322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023013131.

It is not an unprimeable number, because it can be changed into a prime (1023013171) 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, 202186 + ... + 207183.

It is an arithmetic number, because the mean of its divisors is an integer number (70002270).

Almost surely, 21023013131 is an apocalyptic number.

1023013131 is a deficient number, since it is larger than the sum of its proper divisors (657041349).

1023013131 is a wasteful number, since it uses less digits than its factorization.

1023013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409403 (or 409396 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1023013131 is about 31984.5764549103. The cubic root of 1023013131 is about 1007.6129397412.

Adding to 1023013131 its reverse (1313103201), we get a palindrome (2336116332).

The spelling of 1023013131 in words is "one billion, twenty-three million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 409369 1228107 2865583 6959273 8596749 20059081 20877819 48714911 60177243 146144733 341004377 1023013131