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130431012240 = 24354754721139
BaseRepresentation
bin111100101111001001…
…0110100110110010000
3110110122221221221021010
41321132102310312100
54114110314342430
6135530313130520
712265126211544
oct1713622646620
9413587857233
10130431012240
11503519a6aa1
12213410b9a40
13c3b8283a69
146454823a24
1535d5b00cb0
hex1e5e4b4d90

130431012240 has 160 divisors (see below), whose sum is σ = 413713520640. Its totient is φ = 33977728512.

The previous prime is 130431012233. The next prime is 130431012247. The reversal of 130431012240 is 42210134031.

It is an interprime number because it is at equal distance from previous prime (130431012233) and next prime (130431012247).

It is not an unprimeable number, because it can be changed into a prime (130431012247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6159591 + ... + 6180729.

It is an arithmetic number, because the mean of its divisors is an integer number (2585709504).

Almost surely, 2130431012240 is an apocalyptic number.

130431012240 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 130431012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206856760320).

130431012240 is an abundant number, since it is smaller than the sum of its proper divisors (283282508400).

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

130431012240 is a wasteful number, since it uses less digits than its factorization.

130431012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21749 (or 21743 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 130431012240 its reverse (42210134031), we get a palindrome (172641146271).

The spelling of 130431012240 in words is "one hundred thirty billion, four hundred thirty-one million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 547 564 705 752 940 1094 1128 1410 1641 1880 2188 2256 2735 2820 3282 3760 4376 5470 5640 6564 8205 8752 10940 11280 13128 16410 21139 21880 25709 26256 32820 42278 43760 51418 63417 65640 77127 84556 102836 105695 126834 128545 131280 154254 169112 205672 211390 253668 257090 308508 317085 338224 385635 411344 422780 507336 514180 617016 634170 771270 845560 993533 1014672 1028360 1234032 1268340 1542540 1691120 1987066 2056720 2536680 2980599 3085080 3974132 4967665 5073360 5961198 6170160 7948264 9935330 11563033 11922396 14902995 15896528 19870660 23126066 23844792 29805990 34689099 39741320 46252132 47689584 57815165 59611980 69378198 79482640 92504264 115630330 119223960 138756396 173445495 185008528 231260660 238447920 277512792 346890990 462521320 543462551 555025584 693781980 925042640 1086925102 1387563960 1630387653 2173850204 2717312755 2775127920 3260775306 4347700408 5434625510 6521550612 8151938265 8695400816 10869251020 13043101224 16303876530 21738502040 26086202448 32607753060 43477004080 65215506120 130431012240