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13202300312130 = 2353167792682037
BaseRepresentation
bin1100000000011110011001…
…1010111001101001000010
31201202010110000020011210110
43000013212122321221002
53212301302334442010
644025015242212150
72531556211026636
oct300074632715102
951663400204713
1013202300312130
1142300783854a6
12159283b7b4056
13749c8272b817
14338dcd816dc6
1517d64ea40120
hexc01e66b9a42

13202300312130 has 128 divisors (see below), whose sum is σ = 33616020602880. Its totient is φ = 3313709118720.

The previous prime is 13202300312101. The next prime is 13202300312153. The reversal of 13202300312130 is 3121300320231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13202300312097 and 13202300312106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581472 + ... + 6263508.

It is an arithmetic number, because the mean of its divisors is an integer number (262625160960).

Almost surely, 213202300312130 is an apocalyptic number.

13202300312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202300312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808010301440).

13202300312130 is an abundant number, since it is smaller than the sum of its proper divisors (20413720290750).

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

13202300312130 is a wasteful number, since it uses less digits than its factorization.

13202300312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682224.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13202300312130 its reverse (3121300320231), we get a palindrome (16323600632361).

The spelling of 13202300312130 in words is "thirteen trillion, two hundred two billion, three hundred million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 79 93 134 155 158 186 201 237 310 335 395 402 465 474 670 790 930 1005 1185 2010 2077 2370 2449 4154 4898 5293 6231 7347 10385 10586 12245 12462 14694 15879 20770 24490 26465 31155 31758 36735 52930 62310 73470 79395 158790 164083 328166 492249 820415 984498 1640830 2461245 2682037 4922490 5364074 8046111 13410185 16092222 26820370 40230555 80461110 83143147 166286294 179696479 211880923 249429441 359392958 415715735 423761846 498858882 539089437 635642769 831431470 898482395 1059404615 1078178874 1247147205 1271285538 1796964790 2118809230 2494294410 2695447185 3178213845 5390894370 5570590849 6356427690 6568308613 11141181698 13136617226 14196021841 16711772547 19704925839 27852954245 28392043682 32841543065 33423545094 39409851678 42588065523 55705908490 65683086130 70980109205 83558862735 85176131046 98524629195 141960218410 167117725470 197049258390 212940327615 425880655230 440076677071 880153354142 1320230031213 2200383385355 2640460062426 4400766770710 6601150156065 13202300312130