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11023300211220 = 22325115567323339
BaseRepresentation
bin1010000001101000111111…
…1001001011001000010100
31110000211001202010001021100
42200122033321023020110
52421101204323224340
635240011215550100
72215256440542303
oct240321771131024
943024052101240
1011023300211220
11356aa56657520
1212a0480b2b330
1361c65375619b
142a175dc9043a
15141b1c01a830
hexa068fe4b214

11023300211220 has 72 divisors (see below), whose sum is σ = 36477102523680. Its totient is φ = 2672315202240.

The previous prime is 11023300211219. The next prime is 11023300211227. The reversal of 11023300211220 is 2211200332011.

11023300211220 is a `hidden beast` number, since 1 + 1 + 0 + 233 + 0 + 0 + 211 + 220 = 666.

It is a super-2 number, since 2×110233002112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11023300211193 and 11023300211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023300211227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2783659690 + ... + 2783663649.

It is an arithmetic number, because the mean of its divisors is an integer number (506626423940).

Almost surely, 211023300211220 is an apocalyptic number.

11023300211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023300211220 is an abundant number, since it is smaller than the sum of its proper divisors (25453802312460).

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

11023300211220 is a wasteful number, since it uses less digits than its factorization.

11023300211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567323365 (or 5567323360 counting only the distinct ones).

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

Adding to 11023300211220 its reverse (2211200332011), we get a palindrome (13234500543231).

The spelling of 11023300211220 in words is "eleven trillion, twenty-three billion, three hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5567323339 11134646678 16701970017 22269293356 27836616695 33403940034 50105910051 55673233390 61240556729 66807880068 83509850085 100211820102 111346466780 122481113458 167019700170 183721670187 200423640204 244962226916 250529550255 306202783645 334039400340 367443340374 501059100510 551165010561 612405567290 734886680748 918608350935 1002118201020 1102330021122 1224811134580 1837216701870 2204660042244 2755825052805 3674433403740 5511650105610 11023300211220