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130211343001140 = 223523190149634953
BaseRepresentation
bin11101100110110100110000…
…110110000110011000110100
3122002001002020101011010121120
4131212310300312012120310
5114031340312302014030
61140534133135543540
736266313315445602
oct3546646066063064
9562032211133546
10130211343001140
1138542358581035
121272b9b738abb0
135786b528a434b
142422396918872
15100c168762010
hex766d30d86634

130211343001140 has 96 divisors (see below), whose sum is σ = 380643711872256. Its totient is φ = 33195855897600.

The previous prime is 130211343001123. The next prime is 130211343001147. The reversal of 130211343001140 is 41100343112031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130211343001140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211343001147) 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 31 ways as a sum of consecutive naturals, for example, 22194097 + ... + 27440856.

It is an arithmetic number, because the mean of its divisors is an integer number (3965038665336).

Almost surely, 2130211343001140 is an apocalyptic number.

130211343001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130211343001140 is an abundant number, since it is smaller than the sum of its proper divisors (250432368871116).

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

130211343001140 is a wasteful number, since it uses less digits than its factorization.

130211343001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49636889 (or 49636887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130211343001140 its reverse (41100343112031), we get a palindrome (171311686113171).

The spelling of 130211343001140 in words is "one hundred thirty trillion, two hundred eleven billion, three hundred forty-three million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1901 3802 5703 7604 9505 11406 19010 22812 28515 38020 43723 57030 87446 114060 131169 174892 218615 262338 437230 524676 655845 874460 1311690 2623380 49634953 99269906 148904859 198539812 248174765 297809718 496349530 595619436 744524295 992699060 1141603919 1489048590 2283207838 2978097180 3424811757 4566415676 5708019595 6849623514 11416039190 13699247028 17124058785 22832078380 34248117570 68496235140 94356045653 188712091306 283068136959 377424182612 471780228265 566136273918 943560456530 1132272547836 1415340684795 1887120913060 2170189050019 2830681369590 4340378100038 5661362739180 6510567150057 8680756200076 10850945250095 13021134300114 21701890500190 26042268600228 32552835750285 43403781000380 65105671500570 130211343001140