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130440323013 = 371113412115021
BaseRepresentation
bin111100101111011011…
…0010101111111000101
3110110200121110222020120
41321132312111333011
54114120210314023
6135531244452153
712265301310630
oct1713666257705
9413617428216
10130440323013
1150357186350
122134424a059
13c3ba1939b0
146455b68c17
1535d683e8e3
hex1e5ed95fc5

130440323013 has 128 divisors (see below), whose sum is σ = 240392613888. Its totient is φ = 60721920000.

The previous prime is 130440323003. The next prime is 130440323029. The reversal of 130440323013 is 310323044031.

It is not a de Polignac number, because 130440323013 - 24 = 130440322997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440323003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25976443 + ... + 25981463.

It is an arithmetic number, because the mean of its divisors is an integer number (1878067296).

Almost surely, 2130440323013 is an apocalyptic number.

130440323013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130440323013 is a deficient number, since it is larger than the sum of its proper divisors (109952290875).

130440323013 is a wasteful number, since it uses less digits than its factorization.

130440323013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130440323013 its reverse (310323044031), we get a palindrome (440763367044).

The spelling of 130440323013 in words is "one hundred thirty billion, four hundred forty million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 39 41 77 91 123 143 211 231 273 287 429 451 533 633 861 1001 1353 1477 1599 2321 2743 3003 3157 3731 4431 5021 5863 6963 8229 8651 9471 11193 15063 16247 17589 19201 25953 30173 35147 41041 48741 55231 57603 60557 65273 90519 95161 105441 112463 123123 165693 181671 195819 205861 211211 285483 337389 386617 456911 617583 633633 666127 718003 787241 1059431 1159851 1237093 1370733 1441027 1998381 2154009 2264471 2361723 2676193 3178293 3711279 4323081 5026021 6793413 7416017 8028579 8659651 11653741 13772603 15078063 15851297 18733351 22248051 25978953 29438123 34961223 41317809 43436671 47553891 56200053 81576187 88314369 96408221 130310013 151498633 206066861 244728561 289224663 304056697 454495899 477803381 564676723 618200583 912170091 1060490431 1433410143 1694030169 3181471293 3344623667 3952737061 6211443953 10033871001 11858211183 18634331859 43480107671 130440323013