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2130300135120 = 243527031328373
BaseRepresentation
bin11110111111111111110…
…010000110011011010000
321112122200021112112120110
4132333333302012123100
5234400323313310440
64310351341041320
7306623552243643
oct36777762063320
97478607475513
102130300135120
11751500986973
122a4a49256240
13125b6a683341
147516db65a5a
153a63237a080
hex1efffc866d0

2130300135120 has 80 divisors (see below), whose sum is σ = 6604194840192. Its totient is φ = 568057290240.

The previous prime is 2130300135071. The next prime is 2130300135127. The reversal of 2130300135120 is 215310030312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130300135127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6323254 + ... + 6651626.

Almost surely, 22130300135120 is an apocalyptic number.

2130300135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130300135120 is an abundant number, since it is smaller than the sum of its proper divisors (4473894705072).

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

2130300135120 is a wasteful number, since it uses less digits than its factorization.

2130300135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355420 (or 355414 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 2130300135120 its reverse (215310030312), we get a palindrome (2345610165432).

It can be divided in two parts, 2130 and 300135120, that added together give a triangular number (300137250 = T24500).

The spelling of 2130300135120 in words is "two trillion, one hundred thirty billion, three hundred million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 27031 54062 81093 108124 135155 162186 216248 270310 324372 328373 405465 432496 540620 648744 656746 810930 985119 1081240 1297488 1313492 1621860 1641865 1970238 2162480 2626984 3243720 3283730 3940476 4925595 5253968 6487440 6567460 7880952 9851190 13134920 15761904 19702380 26269840 39404760 78809520 8876250563 17752501126 26628751689 35505002252 44381252815 53257503378 71010004504 88762505630 106515006756 133143758445 142020009008 177525011260 213030013512 266287516890 355050022520 426060027024 532575033780 710100045040 1065150067560 2130300135120