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130441012000 = 2553132508481
BaseRepresentation
bin111100101111011100…
…0111110001100100000
3110110200122202222100121
41321132320332030200
54114120344341000
6135531311330024
712265310210425
oct1713670761440
9413618688317
10130441012000
1150357606a62
1221344520914
13c3ba375490
146455ca7d4c
1535d6928b1a
hex1e5ee3e320

130441012000 has 96 divisors (see below), whose sum is σ = 345147055344. Its totient is φ = 48162816000.

The previous prime is 130441011983. The next prime is 130441012003. The reversal of 130441012000 is 210144031.

It can be written as a sum of positive squares in 8 ways, for example, as 12844142224 + 117596869776 = 113332^2 + 342924^2 .

It is a super-2 number, since 2×1304410120002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130441012003) 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, 1202241 + ... + 1306240.

Almost surely, 2130441012000 is an apocalyptic number.

130441012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441012000 is an abundant number, since it is smaller than the sum of its proper divisors (214706043344).

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

130441012000 is a wasteful number, since it uses less digits than its factorization.

130441012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508519 (or 2508501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 130441012000 its reverse (210144031), we get a palindrome (130651156031).

The spelling of 130441012000 in words is "one hundred thirty billion, four hundred forty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2508481 5016962 10033924 12542405 20067848 25084810 32610253 40135696 50169620 62712025 65220506 80271392 100339240 125424050 130441012 163051265 200678480 250848100 260882024 313560125 326102530 401356960 501696200 521764048 627120250 652205060 815256325 1003392400 1043528096 1254240500 1304410120 1630512650 2006784800 2508481000 2608820240 3261025300 4076281625 5016962000 5217640480 6522050600 8152563250 10033924000 13044101200 16305126500 26088202400 32610253000 65220506000 130441012000