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11321300210310 = 23251312707354727
BaseRepresentation
bin1010010010111111001000…
…0100111101001010000110
31111002022020212200111112200
42210233302010331022012
52440442010323212220
640024533350055330
72245636242000336
oct244576204751206
944068225614480
1011321300210310
113675377906502
12132a18864a546
1364179510a1ac
142b1d4d5370c6
1514975dd16890
hexa4bf213d286

11321300210310 has 96 divisors (see below), whose sum is σ = 29671118560512. Its totient is φ = 2994852294720.

The previous prime is 11321300210303. The next prime is 11321300210327. The reversal of 11321300210310 is 1301200312311.

11321300210310 is a `hidden beast` number, since 1 + 1 + 32 + 1 + 300 + 21 + 0 + 310 = 666.

It is a super-2 number, since 2×113213002103102 (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 a congruent number.

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, 31738167 + ... + 32092893.

It is an arithmetic number, because the mean of its divisors is an integer number (309074151672).

Almost surely, 211321300210310 is an apocalyptic number.

11321300210310 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 11321300210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835559280256).

11321300210310 is an abundant number, since it is smaller than the sum of its proper divisors (18349818350202).

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

11321300210310 is a wasteful number, since it uses less digits than its factorization.

11321300210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357578 (or 357575 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11321300210310 its reverse (1301200312311), we get a palindrome (12622500522621).

The spelling of 11321300210310 in words is "eleven trillion, three hundred twenty-one billion, three hundred million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 2707 3930 5414 5895 8121 11790 13535 16242 24363 27070 40605 48726 81210 121815 243630 354617 354727 709234 709454 1063851 1064181 1773085 1773635 2127702 2128362 3191553 3192543 3546170 3547270 5319255 5320905 6383106 6385086 10638510 10641810 15957765 15962715 31915530 31925430 46469237 92938474 139407711 232346185 278815422 418223133 464692370 697038555 836446266 960245989 1394077110 1920491978 2091115665 2880737967 4182231330 4801229945 5761475934 8642213901 9602459890 14403689835 17284427802 28807379670 43211069505 86422139010 125792224559 251584449118 377376673677 628961122795 754753347354 1132130021031 1257922245590 1886883368385 2264260042062 3773766736770 5660650105155 11321300210310