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130312332300 = 223522983180463
BaseRepresentation
bin111100101011100111…
…0000110010000001100
3110110100200122100222210
41321113032012100030
54113334424113200
6135510433310420
712262155356103
oct1712716062014
9413320570883
10130312332300
11502a0a06aa7
1221309405410
13c3997cc947
146442b6d03a
1535ca4ab650
hex1e5738640c

130312332300 has 144 divisors (see below), whose sum is σ = 394739735040. Its totient is φ = 33147260160.

The previous prime is 130312332281. The next prime is 130312332331. The reversal of 130312332300 is 3233213031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631869 + ... + 812331.

It is an arithmetic number, because the mean of its divisors is an integer number (2741248160).

Almost surely, 2130312332300 is an apocalyptic number.

130312332300 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 130312332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197369867520).

130312332300 is an abundant number, since it is smaller than the sum of its proper divisors (264427402740).

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

130312332300 is a wasteful number, since it uses less digits than its factorization.

130312332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180592 (or 180585 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130312332300 its reverse (3233213031), we get a palindrome (133545545331).

The spelling of 130312332300 in words is "one hundred thirty billion, three hundred twelve million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 83 87 100 116 145 150 166 174 249 290 300 332 348 415 435 498 580 725 830 870 996 1245 1450 1660 1740 2075 2175 2407 2490 2900 4150 4350 4814 4980 6225 7221 8300 8700 9628 12035 12450 14442 24070 24900 28884 36105 48140 60175 72210 120350 144420 180463 180525 240700 360926 361050 541389 721852 722100 902315 1082778 1804630 2165556 2706945 3609260 4511575 5233427 5413890 9023150 10466854 10827780 13534725 14978429 15700281 18046300 20933708 26167135 27069450 29956858 31400562 44935287 52334270 54138900 59913716 62801124 74892145 78501405 89870574 104668540 130835675 149784290 157002810 179741148 224676435 261671350 299568580 314005620 374460725 392507025 434374441 449352870 523342700 748921450 785014050 868748882 898705740 1123382175 1303123323 1497842900 1570028100 1737497764 2171872205 2246764350 2606246646 4343744410 4493528700 5212493292 6515616615 8687488820 10859361025 13031233230 21718722050 26062466460 32578083075 43437444100 65156166150 130312332300