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13123332323130 = 23517892089138403
BaseRepresentation
bin1011111011111000001110…
…0011111011011100111010
31201110120121121000200202010
42332332003203323130322
53210003041033320010
643524435312150350
72523062260141521
oct276760343733472
951416547020663
1013123332323130
1141aa634a76577
12157b4815383b6
137426a9361303
1433525bb5d4b8
1517b57be77620
hexbef838fb73a

13123332323130 has 128 divisors (see below), whose sum is σ = 33739794950400. Its totient is φ = 3255108747264.

The previous prime is 13123332323119. The next prime is 13123332323191. The reversal of 13123332323130 is 3132323332131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94750509 + ... + 94888911.

It is an arithmetic number, because the mean of its divisors is an integer number (263592148050).

Almost surely, 213123332323130 is an apocalyptic number.

13123332323130 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 13123332323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869897475200).

13123332323130 is an abundant number, since it is smaller than the sum of its proper divisors (20616462627270).

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

13123332323130 is a wasteful number, since it uses less digits than its factorization.

13123332323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140608.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13123332323130 its reverse (3132323332131), we get a palindrome (16255655655261).

The spelling of 13123332323130 in words is "thirteen trillion, one hundred twenty-three billion, three hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 1335 1513 2089 2670 3026 4178 4539 6267 7565 9078 10445 12534 15130 20890 22695 31335 35513 45390 62670 71026 106539 138403 177565 185921 213078 276806 355130 371842 415209 532695 557763 692015 830418 929605 1065390 1115526 1384030 1859210 2076045 2352851 2788815 3160657 4152090 4705702 5577630 6321314 7058553 9481971 11764255 12317867 14117106 15803285 18963942 23528510 24635734 31606570 35292765 36953601 47409855 61589335 70585530 73907202 94819710 123178670 184768005 209403739 289123867 369536010 418807478 578247734 628211217 867371601 1047018695 1256422434 1445619335 1734743202 2094037390 2891238670 3141056085 4336858005 4915105739 6282112170 8673716010 9830211478 14745317217 24575528695 25732024163 29490634434 49151057390 51464048326 73726586085 77196072489 128660120815 147453172170 154392144978 257320241630 385980362445 437444410771 771960724890 874888821542 1312333232313 2187222053855 2624666464626 4374444107710 6561666161565 13123332323130