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130203320320 = 21651972017
BaseRepresentation
bin111100101000010111…
…0010000000000000000
3110110002002111222200001
41321100232100000000
54113124022222240
6135451541005344
712256362650653
oct1712056200000
9413062458601
10130203320320
115024541a757
12212989b3854
13c380052208
1464324b389a
1535c0b2689a
hex1e50b90000

130203320320 has 136 divisors (see below), whose sum is σ = 314227518264. Its totient is φ = 51791265792.

The previous prime is 130203320293. The next prime is 130203320323. The reversal of 130203320320 is 23023302031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71430045696 + 58773274624 = 267264^2 + 242432^2 .

It is not an unprimeable number, because it can be changed into a prime (130203320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64551952 + ... + 64553968.

Almost surely, 2130203320320 is an apocalyptic number.

130203320320 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 130203320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157113759132).

130203320320 is an abundant number, since it is smaller than the sum of its proper divisors (184024197944).

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

130203320320 is an frugal number, since it uses more digits than its factorization.

130203320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 130203320320 its reverse (23023302031), we get a palindrome (153226622351).

The spelling of 130203320320 in words is "one hundred thirty billion, two hundred three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 512 640 788 985 1024 1280 1576 1970 2017 2048 2560 3152 3940 4034 4096 5120 6304 7880 8068 8192 10085 10240 12608 15760 16136 16384 20170 20480 25216 31520 32272 32768 40340 40960 50432 63040 64544 65536 80680 81920 100864 126080 129088 161360 163840 201728 252160 258176 322720 327680 397349 403456 504320 516352 645440 794698 806912 1008640 1032704 1290880 1589396 1613824 1986745 2017280 2065408 2581760 3178792 3227648 3973490 4034560 4130816 5163520 6357584 6455296 7946980 8069120 8261632 10327040 12715168 12910592 15893960 16138240 16523264 20654080 25430336 31787920 32276480 33046528 41308160 50860672 63575840 64552960 66093056 82616320 101721344 127151680 132186112 165232640 203442688 254303360 330465280 406885376 508606720 660930560 813770752 1017213440 1627541504 2034426880 3255083008 4068853760 6510166016 8137707520 13020332032 16275415040 26040664064 32550830080 65101660160 130203320320