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2102124140130 = 2357431092135719
BaseRepresentation
bin11110100101110000010…
…111001101011001100010
321102221221122102200200110
4132211300113031121202
5233420122234441010
64245411423432150
7304605411241650
oct36456027153142
97387848380613
102102124140130
117405623028a3
1229b4a5155656
131232ca164661
1473a59a81dd0
1539a3394c120
hex1e9705cd662

2102124140130 has 128 divisors (see below), whose sum is σ = 5954045644800. Its totient is φ = 465005608704.

The previous prime is 2102124140117. The next prime is 2102124140153. The reversal of 2102124140130 is 310414212012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102124140097 and 2102124140106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83590 + ... + 2052129.

It is an arithmetic number, because the mean of its divisors is an integer number (46515981600).

Almost surely, 22102124140130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102124140130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977022822400).

2102124140130 is an abundant number, since it is smaller than the sum of its proper divisors (3851921504670).

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

2102124140130 is a wasteful number, since it uses less digits than its factorization.

2102124140130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135888.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2102124140130 its reverse (310414212012), we get a palindrome (2412538352142).

The spelling of 2102124140130 in words is "two trillion, one hundred two billion, one hundred twenty-four million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 109 129 210 215 218 258 301 327 430 545 602 645 654 763 903 1090 1290 1505 1526 1635 1806 2289 3010 3270 3815 4515 4578 4687 7630 9030 9374 11445 14061 22890 23435 28122 32809 46870 65618 70305 98427 140610 164045 196854 328090 492135 984270 2135719 4271438 6407157 10678595 12814314 14950033 21357190 29900066 32035785 44850099 64071570 74750165 89700198 91835917 149500330 183671834 224250495 232793371 275507751 448500990 459179585 465586742 551015502 642851419 698380113 918359170 1163966855 1285702838 1377538755 1396760226 1629553597 1928554257 2327933710 2755077510 3214257095 3259107194 3491900565 3857108514 4888660791 6428514190 6983801130 8147767985 9642771285 9777321582 10010114953 16295535970 19285542570 20020229906 24443303955 30030344859 48886607910 50050574765 60060689718 70070804671 100101149530 140141609342 150151724295 210212414013 300303448590 350354023355 420424828026 700708046710 1051062070065 2102124140130