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2130131285840 = 245294321352559
BaseRepresentation
bin11110111111110101101…
…101111111011101010000
321112122020111211002220102
4132333311231333131100
5234400002102121330
64310322510031532
7306616432116665
oct36776555773520
97478214732812
102130131285840
1175142463aa08
122a4a007a85a8
13125b416b4a1c
1475155571a6c
153a622625945
hex1eff5b7f750

2130131285840 has 80 divisors (see below), whose sum is σ = 5242480531200. Its totient is φ = 803539462656.

The previous prime is 2130131285839. The next prime is 2130131285881. The reversal of 2130131285840 is 485821310312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2130131285794 and 2130131285803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10576520 + ... + 10776039.

It is an arithmetic number, because the mean of its divisors is an integer number (65531006640).

Almost surely, 22130131285840 is an apocalyptic number.

2130131285840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130131285840 is an abundant number, since it is smaller than the sum of its proper divisors (3112349245360).

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

2130131285840 is a wasteful number, since it uses less digits than its factorization.

2130131285840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21352644 (or 21352638 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 2130131285840 in words is "two trillion, one hundred thirty billion, one hundred thirty-one million, two hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 24940 49880 99760 21352559 42705118 85410236 106762795 170820472 213525590 341640944 427051180 619224211 854102360 918160037 1238448422 1708204720 1836320074 2476896844 3096121055 3672640148 4590800185 4953793688 6192242110 7345280296 9181600370 9907587376 12384484220 14690560592 18363200740 24768968440 26626641073 36726401480 49537936880 53253282146 73452802960 106506564292 133133205365 213013128584 266266410730 426026257168 532532821460 1065065642920 2130131285840