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11321222012240 = 2457359491114691
BaseRepresentation
bin1010010010111110110101…
…1010101001110101010000
31111002022001102112121221212
42210233231122221311100
52440441330313342430
640024521514035252
72245634302220540
oct244575532516520
944068042477855
1011321222012240
1136753377560a8
12132a166418b28
13641781b5b04a
142b1d42dbd320
1514975701bb95
hexa4bed6a9d50

11321222012240 has 160 divisors (see below), whose sum is σ = 30227599595520. Its totient is φ = 3862832601600.

The previous prime is 11321222012239. The next prime is 11321222012251. The reversal of 11321222012240 is 4221022212311.

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, 98653295 + ... + 98767985.

It is an arithmetic number, because the mean of its divisors is an integer number (188922497472).

Almost surely, 211321222012240 is an apocalyptic number.

11321222012240 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 11321222012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113799797760).

11321222012240 is an abundant number, since it is smaller than the sum of its proper divisors (18906377583280).

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

11321222012240 is a wasteful number, since it uses less digits than its factorization.

11321222012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115561 (or 115555 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11321222012240 its reverse (4221022212311), we get a palindrome (15542244224551).

The spelling of 11321222012240 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 359 491 560 718 982 1436 1795 1964 2455 2513 2872 3437 3590 3928 4910 5026 5744 6874 7180 7856 9820 10052 12565 13748 14360 17185 19640 20104 25130 27496 28720 34370 39280 40208 50260 54992 68740 100520 114691 137480 176269 201040 229382 274960 352538 458764 573455 705076 802837 881345 917528 1146910 1233883 1410152 1605674 1762690 1835056 2293820 2467766 2820304 3211348 3525380 4014185 4587640 4935532 6169415 6422696 7050760 8028370 9175280 9871064 12338830 12845392 14101520 16056740 19742128 24677660 32113480 41174069 49355320 56313281 64226960 82348138 98710640 112626562 164696276 205870345 225253124 281566405 288218483 329392552 394192967 411740690 450506248 563132810 576436966 658785104 788385934 823481380 901012496 1126265620 1152873932 1441092415 1576771868 1646962760 1970964835 2252531240 2305747864 2882184830 3153543736 3293925520 3941929670 4505062480 4611495728 5764369660 6307087472 7883859340 11528739320 15767718680 20216467879 23057478640 31535437360 40432935758 80865871516 101082339395 141515275153 161731743032 202164678790 283030550306 323463486064 404329357580 566061100612 707576375765 808658715160 1132122201224 1415152751530 1617317430320 2264244402448 2830305503060 5660611006120 11321222012240