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130245200320 = 26550921571
BaseRepresentation
bin111100101001100111…
…0000000100111000000
3110110012000022201020011
41321103032000213000
54113220232402240
6135500034354304
712260411636044
oct1712316004700
9413160281204
10130245200320
1150267024824
12212aaa2b994
13c388926691
146437c96024
1535c464a6ea
hex1e533809c0

130245200320 has 84 divisors (see below), whose sum is σ = 310954713624. Its totient is φ = 51962629120.

The previous prime is 130245200303. The next prime is 130245200333. The reversal of 130245200320 is 23002542031.

It is a junction number, because it is equal to n+sod(n) for n = 130245200291 and 130245200300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82905135 + ... + 82906705.

Almost surely, 2130245200320 is an apocalyptic number.

130245200320 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 130245200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155477356812).

130245200320 is an abundant number, since it is smaller than the sum of its proper divisors (180709513304).

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

130245200320 is an frugal number, since it uses more digits than its factorization.

130245200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 130245200320 its reverse (23002542031), we get a palindrome (153247742351).

The spelling of 130245200320 in words is "one hundred thirty billion, two hundred forty-five million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 509 1018 1571 2036 2545 3142 4072 5090 6284 7855 8144 10180 12568 15710 16288 20360 25136 31420 32576 40720 50272 62840 81440 100544 125680 162880 251360 259081 502720 518162 799639 1036324 1295405 1599278 2072648 2590810 3198556 3998195 4145296 5181620 6397112 7996390 8290592 10363240 12794224 15992780 16581184 20726480 25588448 31985560 41452960 51176896 63971120 82905920 127942240 255884480 407016251 814032502 1628065004 2035081255 3256130008 4070162510 6512260016 8140325020 13024520032 16280650040 26049040064 32561300080 65122600160 130245200320