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11331131311220 = 2257264511792339
BaseRepresentation
bin1010010011100011110000…
…0011101000010001110100
31111010020122000122011200012
42210320330003220101310
52441122124103424340
640033241100435352
72246434665660200
oct244707403502164
944106560564605
1011331131311220
113679562250096
121330070b48b58
136426a0b0c476
142b2603091b00
15149b36e60565
hexa4e3c0e8474

11331131311220 has 72 divisors (see below), whose sum is σ = 27684641365920. Its totient is φ = 3884354913600.

The previous prime is 11331131311217. The next prime is 11331131311229. The reversal of 11331131311220 is 2211313113311.

It is a super-2 number, since 2×113311313112202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331131311229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5425811 + ... + 7218149.

It is an arithmetic number, because the mean of its divisors is an integer number (384508907860).

Almost surely, 211331131311220 is an apocalyptic number.

11331131311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131311220 is an abundant number, since it is smaller than the sum of its proper divisors (16353510054700).

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

11331131311220 is a wasteful number, since it uses less digits than its factorization.

11331131311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798813 (or 1798804 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11331131311220 its reverse (2211313113311), we get a palindrome (13542444424531).

The spelling of 11331131311220 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 6451 12902 25804 32255 45157 64510 90314 129020 180628 225785 316099 451570 632198 903140 1264396 1580495 1792339 3160990 3584678 6321980 7169356 8961695 12546373 17923390 25092746 35846780 50185492 62731865 87824611 125463730 175649222 250927460 351298444 439123055 878246110 1756492220 11562378889 23124757778 46249515556 57811894445 80936652223 115623788890 161873304446 231247577780 323746608892 404683261115 566556565561 809366522230 1133113131122 1618733044460 2266226262244 2832782827805 5665565655610 11331131311220