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13310323012332 = 223217531116136767
BaseRepresentation
bin1100000110110000110100…
…0100110011001011101100
31202010110021021222220202200
43001230031010303023230
53221034020142343312
644150402235421500
72542432132601643
oct301541504631354
952113237886680
1013310323012332
114271970382a45
1215ab7682b4890
1375720939b838
1434031a17035a
1518137325b0dc
hexc1b0d1332ec

13310323012332 has 144 divisors (see below), whose sum is σ = 36301091404032. Its totient is φ = 4096520663040.

The previous prime is 13310323012321. The next prime is 13310323012367. The reversal of 13310323012332 is 23321032301331.

13310323012332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 323 + 0 + 1 + 2 + 332 = 666.

It is a super-2 number, since 2×133103230123322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310323012296 and 13310323012305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361999813 + ... + 362036579.

It is an arithmetic number, because the mean of its divisors is an integer number (252090912528).

Almost surely, 213310323012332 is an apocalyptic number.

13310323012332 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 13310323012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150545702016).

13310323012332 is an abundant number, since it is smaller than the sum of its proper divisors (22990768391700).

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

13310323012332 is a wasteful number, since it uses less digits than its factorization.

13310323012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48008 (or 48003 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13310323012332 its reverse (23321032301331), we get a palindrome (36631355313663).

The spelling of 13310323012332 in words is "thirteen trillion, three hundred ten billion, three hundred twenty-three million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 11161 16218 22322 32436 33483 36767 44644 66966 73534 100449 110301 133932 147068 189737 200898 220602 330903 379474 401796 441204 569211 591533 625039 661806 758948 1138422 1183066 1250078 1323612 1707633 1774599 1875117 1948651 2276844 2366132 2500156 3415266 3549198 3750234 3897302 5323797 5625351 5845953 6830532 7098396 7500468 7794604 10056061 10647594 11250702 11691906 17537859 20112122 21295188 22501404 23383812 30168183 33127067 35075718 40224244 60336366 66254134 70151436 90504549 99381201 120672732 132508268 181009098 198762402 298143603 362018196 397524804 410356487 596287206 820712974 1192574412 1231069461 1641425948 2462138922 3693208383 4924277844 6976060279 7386416766 13952120558 14772833532 20928180837 21748893811 27904241116 41856361674 43497787622 62784542511 65246681433 83712723348 86995575244 125569085022 130493362866 195740044299 251138170044 260986725732 369731194787 391480088598 739462389574 782960177196 1109193584361 1478924779148 2218387168722 3327580753083 4436774337444 6655161506166 13310323012332