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130440012010002 = 23416314389343303
BaseRepresentation
bin11101101010001001101110…
…100101001001001000010010
3122002211221110201020100220000
4131222021232211021020102
5114044112121033310002
61141231151514230430
736321660045114042
oct3552115645111022
9562757421210800
10130440012010002
1138620331240992
1212768194125416
1357a25955bc496
14242d48a377722
15101309da4c61c
hex76a26e949212

130440012010002 has 80 divisors (see below), whose sum is σ = 294096685945920. Its totient is φ = 43210126431648.

The previous prime is 130440012009973. The next prime is 130440012010051. The reversal of 130440012010002 is 200010210044031.

130440012010002 is a `hidden beast` number, since 1 + 3 + 0 + 440 + 0 + 120 + 100 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379784283 + ... + 380127585.

It is an arithmetic number, because the mean of its divisors is an integer number (3676208574324).

Almost surely, 2130440012010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130440012010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147048342972960).

130440012010002 is an abundant number, since it is smaller than the sum of its proper divisors (163656673935918).

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

130440012010002 is a wasteful number, since it uses less digits than its factorization.

130440012010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357869 (or 357860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130440012010002 its reverse (200010210044031), we get a palindrome (330450222054033).

The spelling of 130440012010002 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 326 489 978 1467 2934 4401 8802 13203 14389 26406 28778 43167 86334 129501 259002 343303 388503 686606 777006 1029909 1165509 2059818 2331018 2345407 3089727 4690814 6179454 7036221 9269181 14072442 18538362 21108663 27807543 42217326 55615086 55958389 63325989 111916778 126651978 167875167 189977967 335750334 379955934 503625501 1007251002 1510876503 3021753006 4532629509 4939786867 9065259018 9879573734 14819360601 29638721202 44458081803 88916163606 133374245409 266748490818 400122736227 800245472454 805185259321 1610370518642 2415555777963 4831111555926 7246667333889 14493334667778 21740002001667 43480004003334 65220006005001 130440012010002