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131441403440110 = 252959178318792293
BaseRepresentation
bin11101111000101110010110…
…001010010010101111101110
3122020101200020101212202122111
4131320232112022102233232
5114212013443240040420
61143315202552034234
736454220336613451
oct3570562612225756
9566350211782574
10131441403440110
1138976a93631915
12128aa28409297a
135845b42c25b3a
142465b25501498
15102e15c51445a
hex778b96292bee

131441403440110 has 128 divisors (see below), whose sum is σ = 249282116352000. Its totient is φ = 49826905615872.

The previous prime is 131441403440093. The next prime is 131441403440117. The reversal of 131441403440110 is 11044304144131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131441403440117) 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, 57322896124 + ... + 57322898416.

It is an arithmetic number, because the mean of its divisors is an integer number (1947516534000).

Almost surely, 2131441403440110 is an apocalyptic number.

131441403440110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131441403440110 is a deficient number, since it is larger than the sum of its proper divisors (117840712911890).

131441403440110 is a wasteful number, since it uses less digits than its factorization.

131441403440110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 131441403440110 its reverse (11044304144131), we get a palindrome (142485707584241).

The spelling of 131441403440110 in words is "one hundred thirty-one trillion, four hundred forty-one billion, four hundred three million, four hundred forty thousand, one hundred ten".

Divisors: 1 2 5 10 29 58 59 118 145 290 295 590 1711 1783 1879 2293 3422 3566 3758 4586 8555 8915 9395 11465 17110 17830 18790 22930 51707 54491 66497 103414 105197 108982 110861 132994 135287 210394 221722 258535 270574 272455 332485 517070 525985 544910 554305 664970 676435 1051970 1108610 1352870 3050713 3214969 3350257 3923323 4088419 4308547 6101426 6429938 6700514 7846646 8176838 8617094 15253565 16074845 16751285 19616615 20442095 21542735 30507130 32149690 33502570 39233230 40884190 43085470 97157453 118564151 124947863 194314906 197665163 237128302 241216721 249895726 254204273 395330326 482433442 485787265 508408546 592820755 624739315 971574530 988325815 1185641510 1206083605 1249478630 1271021365 1976651630 2412167210 2542042730 5732289727 6995284909 7371923917 7682139301 11464579454 13990569818 14743847834 15364278602 28661448635 34976424545 36859619585 38410696505 57322897270 69952849090 73719239170 76821393010 222782039729 445564079458 453246218759 906492437518 1113910198645 2227820397290 2266231093795 4532462187590 13144140344011 26288280688022 65720701720055 131441403440110