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11331122230320 = 24351032083220057
BaseRepresentation
bin1010010011100011101110…
…0000111111010000110000
31111010020121101112211000120
42210320323200333100300
52441122114242332240
640033240134050240
72246434525536234
oct244707340772060
944106541484016
1011331122230320
113679558108512
121330069aa9980
1364269bc80059
142b2601baa5c4
15149b36269ad0
hexa4e3b83f430

11331122230320 has 160 divisors (see below), whose sum is σ = 35484701071872. Its totient is φ = 2990846232576.

The previous prime is 11331122230303. The next prime is 11331122230321. The reversal of 11331122230320 is 2303222113311.

It is a super-2 number, since 2×113311222303202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11331122230321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51381732 + ... + 51601788.

Almost surely, 211331122230320 is an apocalyptic number.

11331122230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331122230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742350535936).

11331122230320 is an abundant number, since it is smaller than the sum of its proper divisors (24153578841552).

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

11331122230320 is a wasteful number, since it uses less digits than its factorization.

11331122230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222259 (or 222253 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11331122230320 its reverse (2303222113311), we get a palindrome (13634344343631).

The spelling of 11331122230320 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2083 2472 3090 4120 4166 4944 6180 6249 8240 8332 10415 12360 12498 16664 20830 24720 24996 31245 33328 41660 49992 62490 83320 99984 124980 166640 214549 220057 249960 429098 440114 499920 643647 660171 858196 880228 1072745 1100285 1287294 1320342 1716392 1760456 2145490 2200570 2574588 2640684 3218235 3300855 3432784 3520912 4290980 4401140 5149176 5281368 6436470 6601710 8581960 8802280 10298352 10562736 12872940 13203420 17163920 17604560 22665871 25745880 26406840 45331742 51491760 52813680 67997613 90663484 113329355 135995226 181326968 226658710 271990452 339988065 362653936 453317420 458378731 543980904 679976130 906634840 916757462 1087961808 1359952260 1375136193 1813269680 1833514924 2291893655 2719904520 2750272386 3667029848 4583787310 5439809040 5500544772 6875680965 7334059696 9167574620 11001089544 13751361930 18335149240 22002179088 27502723860 36670298480 47213009293 55005447720 94426018586 110010895440 141639027879 188852037172 236065046465 283278055758 377704074344 472130092930 566556111516 708195139395 755408148688 944260185860 1133112223032 1416390278790 1888520371720 2266224446064 2832780557580 3777040743440 5665561115160 11331122230320