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11020222100120 = 2351979478938327
BaseRepresentation
bin1010000001011101100001…
…1011000111001010011000
31110000112010020002210122112
42200113120123013022120
52421023403324200440
635234341541211452
72215120243201412
oct240273033071230
943015106083575
1011020222100120
113569717096052
12129b962100b88
1361c282b2327c
142a154b1539b2
151419dbb97965
hexa05d86c7298

11020222100120 has 128 divisors (see below), whose sum is σ = 26437121280000. Its totient is φ = 4122253804032.

The previous prime is 11020222100087. The next prime is 11020222100137. The reversal of 11020222100120 is 2100122202011.

It is a junction number, because it is equal to n+sod(n) for n = 11020222100095 and 11020222100104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 287512397 + ... + 287550723.

It is an arithmetic number, because the mean of its divisors is an integer number (206540010000).

Almost surely, 211020222100120 is an apocalyptic number.

11020222100120 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 11020222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218560640000).

11020222100120 is an abundant number, since it is smaller than the sum of its proper divisors (15416899179880).

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

11020222100120 is a wasteful number, since it uses less digits than its factorization.

11020222100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43225 (or 43221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020222100120 its reverse (2100122202011), we get a palindrome (13120344302131).

The spelling of 11020222100120 in words is "eleven trillion, twenty billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 4789 6004 7505 9578 12008 15010 19156 23945 30020 38312 38327 47890 60040 76654 90991 95780 153308 181982 191560 191635 306616 363964 378331 383270 454955 727928 728213 756662 766540 909910 1456426 1513324 1533080 1819820 1891655 2912852 3026648 3027833 3639640 3641065 3783310 5825704 6055666 7188289 7282130 7566620 12111332 14376578 14564260 15133240 15139165 24222664 28753156 29128520 30278330 35941445 57506312 57528827 60556660 71882890 115057654 121113320 143765780 183548003 230115308 287531560 287644135 367096006 460230616 575288270 734192012 917740015 1150576540 1468384024 1835480030 2301153080 3487412057 3670960060 6974824114 7341920120 13949648228 14500292237 17437060285 27899296456 29000584474 34874120570 58001168948 69748241140 72501461185 116002337896 139496482280 145002922370 275505552503 290005844740 551011105006 580011689480 1102022210012 1377527762515 2204044420024 2755055525030 5510111050060 11020222100120