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130113022002000 = 24353162713328521
BaseRepresentation
bin11101100101011001001100…
…011101010000001101010000
3122001200200110012211212112220
4131211121030131100031100
5114023232432113031000
61140421032551421040
736256232656652412
oct3545311435201520
9561620405755486
10130113022002000
1138504693976154
1212714937984780
13577a7b3b9b04b
14241b70a8749b2
151009811b2e1a0
hex76564c750350

130113022002000 has 160 divisors (see below), whose sum is σ = 419742241336704. Its totient is φ = 34675477632000.

The previous prime is 130113022001953. The next prime is 130113022002017. The reversal of 130113022002000 is 200220311031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3097740 + ... + 16426260.

Almost surely, 2130113022002000 is an apocalyptic number.

130113022002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130113022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209871120668352).

130113022002000 is an abundant number, since it is smaller than the sum of its proper divisors (289629219334704).

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

130113022002000 is a wasteful number, since it uses less digits than its factorization.

130113022002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330174 (or 13330158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130113022002000 its reverse (200220311031), we get a palindrome (130313242313031).

The spelling of 130113022002000 in words is "one hundred thirty trillion, one hundred thirteen billion, twenty-two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1627 2000 3000 3254 4881 6000 6508 8135 9762 13016 16270 19524 24405 26032 32540 39048 40675 48810 65080 78096 81350 97620 122025 130160 162700 195240 203375 244050 325400 390480 406750 488100 610125 650800 813500 976200 1220250 1627000 1952400 2440500 3254000 4881000 9762000 13328521 26657042 39985563 53314084 66642605 79971126 106628168 133285210 159942252 199927815 213256336 266570420 319884504 333213025 399855630 533140840 639769008 666426050 799711260 999639075 1066281680 1332852100 1599422520 1666065125 1999278150 2665704200 3198845040 3332130250 3998556300 4998195375 5331408400 6664260500 7997112600 9996390750 13328521000 15994225200 19992781500 21685503667 26657042000 39985563000 43371007334 65056511001 79971126000 86742014668 108427518335 130113022002 173484029336 216855036670 260226044004 325282555005 346968058672 433710073340 520452088008 542137591675 650565110010 867420146680 1040904176016 1084275183350 1301130220020 1626412775025 1734840293360 2168550366700 2602260440040 2710687958375 3252825550050 4337100733400 5204520880080 5421375916750 6505651100100 8132063875125 8674201466800 10842751833500 13011302200200 16264127750250 21685503667000 26022604400400 32528255500500 43371007334000 65056511001000 130113022002000