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131302433120110 = 25729367709248579
BaseRepresentation
bin11101110110101100111010…
…111000100101111101101110
3122012220101112022201001022121
4131312230322320211331232
5114202224340334320420
61143131301031503154
736441200460441610
oct3566547270457556
9565811468631277
10131302433120110
113892305a4a358a
121288735b227aba
1358359c6793465
14245d100948db0
15102a726dd82aa
hex776b3ae25f6e

131302433120110 has 128 divisors (see below), whose sum is σ = 280579603968000. Its totient is φ = 43285885429248.

The previous prime is 131302433120107. The next prime is 131302433120119. The reversal of 131302433120110 is 11021334203131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302433120119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528087801 + ... + 528336379.

It is an arithmetic number, because the mean of its divisors is an integer number (2192028156000).

Almost surely, 2131302433120110 is an apocalyptic number.

131302433120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131302433120110 is an abundant number, since it is smaller than the sum of its proper divisors (149277170847890).

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

131302433120110 is a wasteful number, since it uses less digits than its factorization.

131302433120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249698.

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

Adding to 131302433120110 its reverse (11021334203131), we get a palindrome (142323767323241).

The spelling of 131302433120110 in words is "one hundred thirty-one trillion, three hundred two billion, four hundred thirty-three million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 367 406 709 734 1015 1418 1835 2030 2569 3545 3670 4963 5138 7090 9926 10643 12845 20561 21286 24815 25690 41122 49630 53215 74501 102805 106430 143927 149002 205610 248579 260203 287854 372505 497158 520406 719635 745010 1242895 1301015 1439270 1740053 1821421 2485790 2602030 3480106 3642842 7208791 7545887 8700265 9107105 14417582 15091774 17400530 18214210 36043955 37729435 50461537 52821209 72087910 75458870 91228493 100923074 105642418 176242511 182456986 252307685 264106045 352485022 456142465 504615370 528212090 638599451 881212555 912284930 1233697577 1277198902 1762425110 2467395154 2645626297 3192997255 5111032819 5291252594 6168487885 6385994510 10222065638 12336975770 13228131485 18519384079 25555164095 26456262970 35777229733 37038768158 51110328190 64681001537 71554459466 92596920395 129362003074 178886148665 185193840790 323405007685 357772297330 452767010759 646810015370 905534021518 1875749044573 2263835053795 3751498089146 4527670107590 9378745222865 13130243312011 18757490445730 26260486624022 65651216560055 131302433120110