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13310322220212 = 22319269242389567
BaseRepresentation
bin1100000110110000110100…
…0001110001110010110100
31202010110021020111200011220
43001230031001301302310
53221034014442021322
644150402210430340
72542432123062363
oct301541501616264
952113236450156
1013310322220212
11427196a9918a6
1215ab767b923b0
13757209182124
1434031a0057da
1518137315155c
hexc1b0d071cb4

13310322220212 has 96 divisors (see below), whose sum is σ = 32827460198400. Its totient is φ = 4185859128192.

The previous prime is 13310322220187. The next prime is 13310322220259. The reversal of 13310322220212 is 21202222301331.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 148562653 + ... + 148652219.

It is an arithmetic number, because the mean of its divisors is an integer number (341952710400).

Almost surely, 213310322220212 is an apocalyptic number.

13310322220212 is a gapful number since it is divisible by the number (12) 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 13310322220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413730099200).

13310322220212 is an abundant number, since it is smaller than the sum of its proper divisors (19517137978188).

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

13310322220212 is a wasteful number, since it uses less digits than its factorization.

13310322220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92285 (or 92283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13310322220212 its reverse (21202222301331), we get a palindrome (34512544521543).

The spelling of 13310322220212 in words is "thirteen trillion, three hundred ten billion, three hundred twenty-two million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 269 538 807 1076 1614 2423 3228 4846 5111 7269 9692 10222 14538 15333 20444 29076 30666 46037 61332 89567 92074 138111 179134 184148 268701 276222 358268 537402 552444 651787 1074804 1303574 1701773 1955361 2607148 3403546 3910722 5105319 6807092 7821444 10210638 12383953 20421276 24093523 24767906 37151859 48187046 49535812 72280569 74303718 96374092 144561138 148607436 217020841 289122276 434041682 457776937 651062523 868083364 915553874 1302125046 1373330811 1831107748 2604250092 2746661622 4123395979 5493323244 8246791958 12370187937 16493583916 24740375874 49480751748 58378606229 116757212458 175135818687 233514424916 350271637374 700543274748 1109193518351 2218387036702 3327580555053 4436774073404 6655161110106 13310322220212