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13122032030310 = 2357353336152667
BaseRepresentation
bin1011111011110011011000…
…0011101101001001100110
31201110110020222021222022210
42332330312003231021212
53204442410144432220
643524102302304250
72523015120631410
oct276746603551146
951413228258283
1013122032030310
1141aa027a99305
12157b179b88086
1374252cb52c88
143351771a39b0
1517b502c2a6e0
hexbef360ed266

13122032030310 has 128 divisors (see below), whose sum is σ = 36105243761664. Its totient is φ = 2989878312960.

The previous prime is 13122032030299. The next prime is 13122032030329. The reversal of 13122032030310 is 1303023022131.

It is a super-2 number, since 2×131220320303102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 249124597 + ... + 249177263.

It is an arithmetic number, because the mean of its divisors is an integer number (282072216888).

Almost surely, 213122032030310 is an apocalyptic number.

13122032030310 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 13122032030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18052621880832).

13122032030310 is an abundant number, since it is smaller than the sum of its proper divisors (22983211731354).

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

13122032030310 is a wasteful number, since it uses less digits than its factorization.

13122032030310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56398.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13122032030310 its reverse (1303023022131), we get a palindrome (14425055052441).

The spelling of 13122032030310 in words is "thirteen trillion, one hundred twenty-two billion, thirty-two million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 353 706 1059 1765 2118 2471 3361 3530 4942 5295 6722 7413 10083 10590 12355 14826 16805 20166 23527 24710 33610 37065 47054 50415 52667 70581 74130 100830 105334 117635 141162 158001 235270 263335 316002 352905 368669 526670 705810 737338 790005 1106007 1186433 1580010 1843345 2212014 2372866 3559299 3686690 5530035 5932165 7118598 8305031 11060070 11864330 16610062 17796495 18591451 24915093 35592990 37182902 41525155 49830186 55774353 83050310 92957255 111548706 124575465 130140157 177013787 185914510 249150930 260280314 278871765 354027574 390420471 531041361 557743530 650700785 780840942 885068935 1062082722 1239096509 1301401570 1770137870 1952102355 2478193018 2655206805 3717289527 3904204710 5310413610 6195482545 7434579054 12390965090 18586447635 37172895270 62485866811 124971733622 187457600433 312429334055 374915200866 437401067677 624858668110 874802135354 937288002165 1312203203031 1874576004330 2187005338385 2624406406062 4374010676770 6561016015155 13122032030310