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11020220103123 = 32711531214324709
BaseRepresentation
bin1010000001011101100001…
…0011011111100111010011
31110000112010002100100021200
42200113120103133213103
52421023402321244443
635234341430322243
72215120220213310
oct240273023374723
943015102310250
1011020220103123
113569715a51740
12129b9614b9383
1361c2825a430a
142a154ab93d07
151419db900dd3
hexa05d84df9d3

11020220103123 has 96 divisors (see below), whose sum is σ = 20222872750080. Its totient is φ = 5616084913920.

The previous prime is 11020220103089. The next prime is 11020220103173. The reversal of 11020220103123 is 32130102202011.

11020220103123 is a `hidden beast` number, since 110 + 20 + 220 + 1 + 0 + 312 + 3 = 666.

It is not a de Polignac number, because 11020220103123 - 26 = 11020220103059 is a prime.

It is a super-2 number, since 2×110202201031232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11020220103096 and 11020220103105.

It is not an unprimeable number, because it can be changed into a prime (11020220103173) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 445987893 + ... + 446012601.

It is an arithmetic number, because the mean of its divisors is an integer number (210654924480).

Almost surely, 211020220103123 is an apocalyptic number.

11020220103123 is a deficient number, since it is larger than the sum of its proper divisors (9202652646957).

11020220103123 is a wasteful number, since it uses less digits than its factorization.

11020220103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36929 (or 36926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11020220103123 its reverse (32130102202011), we get a palindrome (43150322305134).

The spelling of 11020220103123 in words is "eleven trillion, twenty billion, two hundred twenty million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 477 583 693 1113 1749 3339 4081 5247 12143 12243 24709 36429 36729 74127 85001 109287 133573 172963 222381 255003 271799 400719 518889 643579 765009 815397 935011 1202157 1309577 1556667 1902593 1930737 2446191 2805033 3928731 4505053 5707779 5792211 7079369 8415099 9167039 11786193 13515159 14405347 17123337 21238107 27501117 40545477 43216041 49555583 63714321 82503351 100837429 129648123 148666749 300041387 302512287 446000247 900124161 907536861 2100289709 2700372483 3300455257 6300869127 9901365771 15902193511 18902607381 23103186799 29704097313 47706580533 69309560397 111315354577 143119741599 174924128621 207928681191 333946063731 524772385863 1001838191193 1224468900347 1574317157589 3673406701041 11020220103123