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11322133332320 = 2551271314253371
BaseRepresentation
bin1010010011000010001110…
…1111000100000101100000
31111002101101221100111002102
42210300203233010011200
52441000212113113240
640025152150505532
72245666006264436
oct244604357040540
944071357314072
1011322133332320
11367576510a398
12132a37b6652a8
136418988b90b5
142b1dcc044d56
151497ac032815
hexa4c23bc4160

11322133332320 has 96 divisors (see below), whose sum is σ = 27164959911936. Its totient is φ = 4458892838400.

The previous prime is 11322133332317. The next prime is 11322133332337. The reversal of 11322133332320 is 2323333122311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535235 + ... + 4788605.

It is an arithmetic number, because the mean of its divisors is an integer number (282968332416).

Almost surely, 211322133332320 is an apocalyptic number.

11322133332320 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 11322133332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582479955968).

11322133332320 is an abundant number, since it is smaller than the sum of its proper divisors (15842826579616).

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

11322133332320 is a wasteful number, since it uses less digits than its factorization.

11322133332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253644 (or 4253636 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 11322133332320 its reverse (2323333122311), we get a palindrome (13645466454631).

The spelling of 11322133332320 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 131 160 254 262 508 524 635 655 1016 1048 1270 1310 2032 2096 2540 2620 4064 4192 5080 5240 10160 10480 16637 20320 20960 33274 66548 83185 133096 166370 266192 332740 532384 665480 1330960 2661920 4253371 8506742 17013484 21266855 34026968 42533710 68053936 85067420 136107872 170134840 340269680 540178117 557191601 680539360 1080356234 1114383202 2160712468 2228766404 2700890585 2785958005 4321424936 4457532808 5401781170 5571916010 8642849872 8915065616 10803562340 11143832020 17285699744 17830131232 21607124680 22287664040 43214249360 44575328080 70763333327 86428498720 89150656160 141526666654 283053333308 353816666635 566106666616 707633333270 1132213333232 1415266666540 2264426666464 2830533333080 5661066666160 11322133332320