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13321033223130 = 2325476747002693
BaseRepresentation
bin1100000111011000101101…
…1101000000101111011010
31202011110220201010222221200
43001312023131000233122
53221222434001120010
644155333112415030
72543261423103213
oct301661335005732
952143821128850
1013321033223130
114276466a80926
1215b18570a7476
13758225261b89
14340a5476840a
1518179d656cc0
hexc1d8b740bda

13321033223130 has 96 divisors (see below), whose sum is σ = 35899529612544. Its totient is φ = 3424804149888.

The previous prime is 13321033223059. The next prime is 13321033223143. The reversal of 13321033223130 is 3132233012331.

13321033223130 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 10 + 332 + 2 + 313 + 0 = 666.

13321033223130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133210332231302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13321033223094 and 13321033223103.

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, 23217937 + ... + 23784756.

It is an arithmetic number, because the mean of its divisors is an integer number (373953433464).

Almost surely, 213321033223130 is an apocalyptic number.

13321033223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13321033223130 is an abundant number, since it is smaller than the sum of its proper divisors (22578496389414).

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

13321033223130 is a wasteful number, since it uses less digits than its factorization.

13321033223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47002820 (or 47002817 counting only the distinct ones).

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

Adding to 13321033223130 its reverse (3132233012331), we get a palindrome (16453266235461).

The spelling of 13321033223130 in words is "thirteen trillion, three hundred twenty-one billion, thirty-three million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 67 90 94 134 141 201 235 282 335 402 423 470 603 670 705 846 1005 1206 1410 2010 2115 3015 3149 4230 6030 6298 9447 15745 18894 28341 31490 47235 56682 94470 141705 283410 47002693 94005386 141008079 235013465 282016158 423024237 470026930 705040395 846048474 1410080790 2115121185 2209126571 3149180431 4230242370 4418253142 6298360862 6627379713 9447541293 11045632855 13254759426 15745902155 18895082586 19882139139 22091265710 28342623879 31491804310 33136898565 39764278278 47237706465 56685247758 66273797130 94475412930 99410695695 141713119395 148011480257 198821391390 283426238790 296022960514 444034440771 740057401285 888068881542 1332103322313 1480114802570 2220172203855 2664206644626 4440344407710 6660516611565 13321033223130