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130021320200 = 23522971315739
BaseRepresentation
bin111100100010111011…
…1111110011000001000
3110102121102001102102212
41321011313332120020
54112240424221300
6135421520044252
712252022662242
oct1710567763010
9412542042385
10130021320200
1150161711332
1221247a63688
13c35142ab35
146416259092
1535aeb75935
hex1e45dfe608

130021320200 has 96 divisors (see below), whose sum is σ = 317129256000. Its totient is φ = 49507718400.

The previous prime is 130021320197. The next prime is 130021320257. The reversal of 130021320200 is 2023120031.

It is a happy number.

It is a super-3 number, since 3×1300213202003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253931 + ... + 569669.

It is an arithmetic number, because the mean of its divisors is an integer number (3303429750).

Almost surely, 2130021320200 is an apocalyptic number.

130021320200 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 130021320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158564628000).

130021320200 is an abundant number, since it is smaller than the sum of its proper divisors (187107935800).

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

130021320200 is a wasteful number, since it uses less digits than its factorization.

130021320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315855 (or 315846 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130021320200 its reverse (2023120031), we get a palindrome (132044440231).

The spelling of 130021320200 in words is "one hundred thirty billion, twenty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 71 100 116 142 145 200 232 284 290 355 568 580 710 725 1160 1420 1450 1775 2059 2840 2900 3550 4118 5800 7100 8236 10295 14200 16472 20590 41180 51475 82360 102950 205900 315739 411800 631478 1262956 1578695 2525912 3157390 6314780 7893475 9156431 12629560 15786950 18312862 22417469 31573900 36625724 44834938 45782155 63147800 73251448 89669876 91564310 112087345 179339752 183128620 224174690 228910775 366257240 448349380 457821550 560436725 650106601 896698760 915643100 1120873450 1300213202 1831286200 2241746900 2600426404 3250533005 4483493800 5200852808 6501066010 13002132020 16252665025 26004264040 32505330050 65010660100 130021320200