Search a number
-
+
13311001131210 = 2325374793983383
BaseRepresentation
bin1100000110110011010101…
…1111100111100011001010
31202010112000112222220222200
43001230311133213203022
53221041412242144320
644150553422101030
72542455005530626
oct301546537474312
952115015886880
1013311001131210
114272189137772
1215ab91741a776
137572b6a19503
14340382250186
151813b2a5a290
hexc1b357e78ca

13311001131210 has 96 divisors (see below), whose sum is σ = 35545138312320. Its totient is φ = 3453551697024.

The previous prime is 13311001131179. The next prime is 13311001131223. The reversal of 13311001131210 is 1213110011331.

13311001131210 is a `hidden beast` number, since 1 + 331 + 1 + 0 + 0 + 11 + 312 + 10 = 666.

It is a super-2 number, since 2×133110011312102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 159595179 + ... + 159678561.

It is an arithmetic number, because the mean of its divisors is an integer number (370261857420).

Almost surely, 213311001131210 is an apocalyptic number.

13311001131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13311001131210 is an abundant number, since it is smaller than the sum of its proper divisors (22234137181110).

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

13311001131210 is a wasteful number, since it uses less digits than its factorization.

13311001131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131372 (or 131369 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13311001131210 its reverse (1213110011331), we get a palindrome (14524111142541).

The spelling of 13311001131210 in words is "thirteen trillion, three hundred eleven billion, one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 47939 83383 95878 143817 166766 239695 250149 287634 416915 431451 479390 500298 719085 750447 833830 862902 1250745 1438170 1500894 1773743 2157255 2501490 3085171 3547486 3752235 4314510 5321229 6170342 7504470 8868715 9255513 10642458 15425855 15963687 17737430 18511026 26606145 27766539 30851710 31927374 46277565 53212290 55533078 79818435 92555130 138832695 159636870 277665390 3997297637 7994595274 11991892911 19986488185 23983785822 35975678733 39972976370 59959464555 71951357466 119918929110 147900012569 179878393665 295800025138 359756787330 443700037707 739500062845 887400075414 1331100113121 1479000125690 2218500188535 2662200226242 4437000377070 6655500565605 13311001131210