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1041053013 = 337111322963
BaseRepresentation
bin111110000011010…
…011010101010101
32200112220222021000
4332003103111111
54113002144023
6251145213513
734540542660
oct7603232525
92615828230
101041053013
114947135a0
12250791299
131378b2100
149c3966d7
15615e0243
hex3e0d3555

1041053013 has 96 divisors (see below), whose sum is σ = 2082862080. Its totient is φ = 499037760.

The previous prime is 1041053003. The next prime is 1041053029. The reversal of 1041053013 is 3103501401.

It is not a de Polignac number, because 1041053013 - 29 = 1041052501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041053003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349870 + ... + 352832.

It is an arithmetic number, because the mean of its divisors is an integer number (21696480).

Almost surely, 21041053013 is an apocalyptic number.

1041053013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1041053013 is an abundant number, since it is smaller than the sum of its proper divisors (1041809067).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041053013 is a wasteful number, since it uses less digits than its factorization.

1041053013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 2997 counting only the distinct ones).

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

The square root of 1041053013 is about 32265.3531361428. The cubic root of 1041053013 is about 1013.5012339973.

Adding to 1041053013 its reverse (3103501401), we get a palindrome (4144554414).

The spelling of 1041053013 in words is "one billion, forty-one million, fifty-three thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 169 189 231 273 297 351 429 507 693 819 1001 1183 1287 1521 1859 2079 2457 2963 3003 3549 3861 4563 5577 8889 9009 10647 13013 16731 20741 26667 27027 31941 32593 38519 39039 50193 62223 80001 97779 115557 117117 186669 228151 269633 293337 346671 351351 423709 500747 560007 684453 808899 880011 1040013 1271127 1502241 2053359 2426697 2965963 3505229 3813381 4506723 5508217 6160077 7280091 8897889 10515687 11440143 13520169 16524651 26693667 31547061 38557519 49573953 80081001 94641183 115672557 148721859 347017671 1041053013