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131142103013032 = 232329239187954727
BaseRepresentation
bin11101110100010111100110…
…011101110001011010101000
3122012100001200122022201112121
4131310113212131301122220
5114142113011332404112
61142525503405121024
736423463365143236
oct3564274635613250
9565301618281477
10131142103013032
1138871065313061
1212860274b59174
135823855017107
142455451265956
151026491491407
hex7745e67716a8

131142103013032 has 128 divisors (see below), whose sum is σ = 266687354880000. Its totient is φ = 60270799792896.

The previous prime is 131142103013029. The next prime is 131142103013093. The reversal of 131142103013032 is 230310301241131.

It is a junction number, because it is equal to n+sod(n) for n = 131142103012988 and 131142103013006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396268853 + ... + 2396323579.

It is an arithmetic number, because the mean of its divisors is an integer number (2083494960000).

Almost surely, 2131142103013032 is an apocalyptic number.

It is an amenable number.

131142103013032 is an abundant number, since it is smaller than the sum of its proper divisors (135545251866968).

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

131142103013032 is a wasteful number, since it uses less digits than its factorization.

131142103013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56903 (or 56899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 131142103013032 its reverse (230310301241131), we get a palindrome (361452404254163).

The spelling of 131142103013032 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 23 29 46 58 92 116 184 232 239 478 667 956 1334 1879 1912 2668 3758 5336 5497 6931 7516 10994 13862 15032 21988 27724 43217 43976 54491 54727 55448 86434 108982 109454 159413 172868 217964 218908 318826 345736 435928 437816 449081 637652 898162 1253293 1258721 1275304 1587083 1796324 2506586 2517442 3174166 3592648 5013172 5034884 6348332 10026344 10069768 10328863 12696664 13023349 13079753 20657726 26046698 26159506 36502909 41315452 52093396 52319012 73005818 82630904 102832033 104186792 104638024 146011636 205664066 292023272 299537027 300834319 379312837 411328132 599074054 601668638 758625674 822656264 1198148108 1203337276 1517251348 2365136759 2396296216 2406674552 2982128957 3034502696 4730273518 5964257914 8724195251 9460547036 11928515828 17448390502 18921094072 23857031656 24576855887 34896781004 49153711774 68588966011 69793562008 98307423548 137177932022 196614847096 274355864044 548711728088 565267685401 712728820723 1130535370802 1425457641446 2261070741604 2850915282892 4522141483208 5701830565784 16392762876629 32785525753258 65571051506516 131142103013032