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131010340122240 = 2735591156517833
BaseRepresentation
bin11101110010011100111000…
…110010001110111010000000
3122011212110120212012100101020
4131302130320302032322000
5114132433134032402430
61142345152553105440
736411120234066465
oct3562347062167200
9564773525170336
10131010340122240
113882019a625a97
121283a8219b8280
1358142b6b46347
14244cd119c366c
151022d2d9a4b10
hex772738c8ee80

131010340122240 has 128 divisors (see below), whose sum is σ = 424673348644800. Its totient is φ = 34343953539072.

The previous prime is 131010340122217. The next prime is 131010340122247. The reversal of 131010340122240 is 42221043010131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131010340122240.

It is not an unprimeable number, because it can be changed into a prime (131010340122247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578145637 + ... + 578372196.

Almost surely, 2131010340122240 is an apocalyptic number.

131010340122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010340122240 is an abundant number, since it is smaller than the sum of its proper divisors (293663008522560).

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

131010340122240 is a wasteful number, since it uses less digits than its factorization.

131010340122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156517914 (or 1156517902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131010340122240 its reverse (42221043010131), we get a palindrome (173231383132371).

The spelling of 131010340122240 in words is "one hundred thirty-one trillion, ten billion, three hundred forty million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 295 320 354 384 472 480 590 640 708 885 944 960 1180 1416 1770 1888 1920 2360 2832 3540 3776 4720 5664 7080 7552 9440 11328 14160 18880 22656 28320 37760 56640 113280 1156517833 2313035666 3469553499 4626071332 5782589165 6939106998 9252142664 11565178330 13878213996 17347767495 18504285328 23130356660 27756427992 34695534990 37008570656 46260713320 55512855984 68234552147 69391069980 74017141312 92521426640 111025711968 136469104294 138782139960 148034282624 185042853280 204703656441 222051423936 272938208588 277564279920 341172760735 370085706560 409407312882 444102847872 545876417176 555128559840 682345521470 740171413120 818814625764 1023518282205 1091752834352 1110257119680 1364691042940 1637629251528 2047036564410 2183505668704 2220514239360 2729382085880 3275258503056 4094073128820 4367011337408 5458764171760 6550517006112 8188146257640 8734022674816 10917528343520 13101034012224 16376292515280 21835056687040 26202068024448 32752585030560 43670113374080 65505170061120 131010340122240