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130312660600 = 23523747374677
BaseRepresentation
bin111100101011100111…
…1010110011001111000
3110110100201021001100001
41321113033112121320
54113340020114400
6135510444322344
712262161224203
oct1712717263170
9413321231301
10130312660600
11502a1110721
12213095433b4
13c3998b61c5
146442c1693a
1535ca523a6a
hex1e573d6678

130312660600 has 96 divisors (see below), whose sum is σ = 317786892480. Its totient is φ = 49637076480.

The previous prime is 130312660579. The next prime is 130312660633. The reversal of 130312660600 is 6066213031.

It is a super-3 number, since 3×1303126606003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 160462 + ... + 535138.

It is an arithmetic number, because the mean of its divisors is an integer number (3310280130).

Almost surely, 2130312660600 is an apocalyptic number.

130312660600 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 130312660600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158893446240).

130312660600 is an abundant number, since it is smaller than the sum of its proper divisors (187474231880).

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

130312660600 is a wasteful number, since it uses less digits than its factorization.

130312660600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374777 (or 374768 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 130312660600 its reverse (6066213031), we get a palindrome (136378873631).

It can be divided in two parts, 1303126 and 60600, that added together give a triangular number (1363726 = T1651).

The spelling of 130312660600 in words is "one hundred thirty billion, three hundred twelve million, six hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 47 50 74 94 100 148 185 188 200 235 296 370 376 470 740 925 940 1175 1480 1739 1850 1880 2350 3478 3700 4700 6956 7400 8695 9400 13912 17390 34780 43475 69560 86950 173900 347800 374677 749354 1498708 1873385 2997416 3746770 7493540 9366925 13863049 14987080 17609819 18733850 27726098 35219638 37467700 55452196 69315245 70439276 74935400 88049095 110904392 138630490 140878552 176098190 277260980 346576225 352196380 440245475 554521960 651563303 693152450 704392760 880490950 1303126606 1386304900 1760981900 2606253212 2772609800 3257816515 3521963800 5212506424 6515633030 13031266060 16289082575 26062532120 32578165150 65156330300 130312660600