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104420130131000 = 2353833465136307
BaseRepresentation
bin10111101111100000110100…
…110000111000110000111000
3111200201110121101222012122002
4113233200310300320300320
5102141304411303143000
61010025540123320132
730665051111301065
oct2757406460706070
9450643541865562
10104420130131000
11302a9368260542
12b8653a2380048
134635a11bba918
141badd659d1c6c
15c113195468d5
hex5ef834c38c38

104420130131000 has 128 divisors (see below), whose sum is σ = 247300945032960. Its totient is φ = 41262495120000.

The previous prime is 104420130130919. The next prime is 104420130131017. The reversal of 104420130131000 is 131031024401.

It is a super-2 number, since 2×1044201301310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 2876014847 + ... + 2876051153.

It is an arithmetic number, because the mean of its divisors is an integer number (1932038633070).

Almost surely, 2104420130131000 is an apocalyptic number.

104420130131000 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 104420130131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123650472516480).

104420130131000 is an abundant number, since it is smaller than the sum of its proper divisors (142880814901960).

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

104420130131000 is a wasteful number, since it uses less digits than its factorization.

104420130131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71062 (or 71048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104420130131000 its reverse (131031024401), we get a palindrome (104551161155401).

The spelling of 104420130131000 in words is "one hundred four trillion, four hundred twenty billion, one hundred thirty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 16600 20750 34651 36307 41500 69302 72614 83000 138604 145228 173255 181535 277208 290456 346510 363070 693020 726140 866275 907675 1386040 1452280 1732550 1815350 2876033 3013481 3465100 3630700 4331375 4538375 5752066 6026962 6930200 7261400 8662750 9076750 11504132 12053924 14380165 15067405 17325500 18153500 23008264 24107848 28760330 30134810 34651000 36307000 57520660 60269620 71900825 75337025 115041320 120539240 143801650 150674050 287603300 301348100 359504125 376685125 575206600 602696200 719008250 753370250 1258073857 1438016500 1506740500 2516147714 2876033000 3013481000 5032295428 6290369285 10064590856 12580738570 25161477140 31451846425 50322954280 62903692850 104420130131 125807385700 157259232125 208840260262 251614771400 314518464250 417680520524 522100650655 629036928500 835361041048 1044201301310 1258073857000 2088402602620 2610503253275 4176805205240 5221006506550 10442013013100 13052516266375 20884026026200 26105032532750 52210065065500 104420130131000