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130311302240 = 2557172402593
BaseRepresentation
bin111100101011100101…
…0001010110001100000
3110110100121201001000102
41321113022022301200
54113334143132430
6135510355241532
712262143536030
oct1712712126140
9413317631012
10130311302240
11502a0373109
1221308ba92a8
13c39952bb42
1464429818c0
1535ca356345
hex1e5728ac60

130311302240 has 144 divisors (see below), whose sum is σ = 373755386592. Its totient is φ = 42049929216.

The previous prime is 130311302179. The next prime is 130311302273. The reversal of 130311302240 is 42203113031.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122384 + ... + 524976.

It is an arithmetic number, because the mean of its divisors is an integer number (2595523518).

Almost surely, 2130311302240 is an apocalyptic number.

130311302240 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 130311302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186877693296).

130311302240 is an abundant number, since it is smaller than the sum of its proper divisors (243444084352).

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

130311302240 is a wasteful number, since it uses less digits than its factorization.

130311302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402649 (or 402624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130311302240 its reverse (42203113031), we get a palindrome (172514415271).

The spelling of 130311302240 in words is "one hundred thirty billion, three hundred eleven million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 289 340 476 544 560 578 595 680 952 1120 1156 1190 1360 1445 1904 2023 2312 2380 2720 2890 3808 4046 4624 4760 5780 8092 9248 9520 10115 11560 16184 19040 20230 23120 32368 40460 46240 64736 80920 161840 323680 402593 805186 1610372 2012965 2818151 3220744 4025930 5636302 6441488 6844081 8051860 11272604 12882976 13688162 14090755 16103720 22545208 27376324 28181510 32207440 34220405 45090416 47908567 54752648 56363020 64414880 68440810 90180832 95817134 109505296 112726040 116349377 136881620 191634268 219010592 225452080 232698754 239542835 273763240 383268536 450904160 465397508 479085670 547526480 581746885 766537072 814445639 930795016 958171340 1095052960 1163493770 1533074144 1628891278 1861590032 1916342680 2326987540 3257782556 3723180064 3832685360 4072228195 4653975080 6515565112 7665370720 8144456390 9307950160 13031130224 16288912780 18615900320 26062260448 32577825560 65155651120 130311302240