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11331131121310 = 25711131131981131
BaseRepresentation
bin1010010011100011110000…
…0010111001111010011110
31111010020122000021112011111
42210320330002321322132
52441122124031340220
640033241052412234
72246434664236420
oct244707402717236
944106560245144
1011331131121310
113679562130440
121330070a7707a
136426a0a73bb0
142b2603042810
15149b36e2415a
hexa4e3c0b9e9e

11331131121310 has 64 divisors (see below), whose sum is σ = 27384887545344. Its totient is φ = 3260105654400.

The previous prime is 11331131121227. The next prime is 11331131121329. The reversal of 11331131121310 is 1312113113311.

It is a super-2 number, since 2×113311311213102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565980556 + ... + 566000575.

It is an arithmetic number, because the mean of its divisors is an integer number (427888867896).

Almost surely, 211331131121310 is an apocalyptic number.

11331131121310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331131121310 is an abundant number, since it is smaller than the sum of its proper divisors (16053756424034).

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

11331131121310 is a wasteful number, since it uses less digits than its factorization.

11331131121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131981169.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 11331131121310 its reverse (1312113113311), we get a palindrome (12643244234621).

The spelling of 11331131121310 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 1131981131 2263962262 5659905655 7923867917 11319811310 12451792441 14715754703 15847735834 24903584882 29431509406 39619339585 62258962205 73578773515 79238679170 87162547087 103010282921 124517924410 147157547030 161873301733 174325094174 206020565842 323746603466 435812735435 515051414605 809366508665 871625470870 1030102829210 1133113112131 1618733017330 2266226224262 5665565560655 11331131121310