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11100000221220 = 22351493473578129
BaseRepresentation
bin1010000110000110101110…
…0100011111100000100100
31110022011001002201021000110
42201201223210133200210
52423330300024034340
635335134131213020
72223643232062641
oct241415344374044
943264032637013
1011100000221220
11359a535826239
1212b3307747170
13626957cb03a1
142a5358652dc8
15143b0a939680
hexa186b91f824

11100000221220 has 96 divisors (see below), whose sum is σ = 31378768848000. Its totient is φ = 2931660457984.

The previous prime is 11100000221207. The next prime is 11100000221227. The reversal of 11100000221220 is 2212200000111.

It is a super-2 number, since 2×111000002212202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100000221196 and 11100000221205.

It is not an unprimeable number, because it can be changed into a prime (11100000221227) 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 31 ways as a sum of consecutive naturals, for example, 1313116 + ... + 4891244.

It is an arithmetic number, because the mean of its divisors is an integer number (326862175500).

Almost surely, 211100000221220 is an apocalyptic number.

11100000221220 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 11100000221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689384424000).

11100000221220 is an abundant number, since it is smaller than the sum of its proper divisors (20278768626780).

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

11100000221220 is a wasteful number, since it uses less digits than its factorization.

11100000221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578637 (or 3578635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100000221220 its reverse (2212200000111), we get a palindrome (13312200221331).

The spelling of 11100000221220 in words is "eleven trillion, one hundred billion, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 347 447 596 694 745 894 1041 1388 1490 1735 1788 2082 2235 2980 3470 4164 4470 5205 6940 8940 10410 20820 51703 103406 155109 206812 258515 310218 517030 620436 775545 1034060 1551090 3102180 3578129 7156258 10734387 14312516 17890645 21468774 35781290 42937548 53671935 71562580 107343870 214687740 533141221 1066282442 1241610763 1599423663 2132564884 2483221526 2665706105 3198847326 3724832289 4966443052 5331412210 6208053815 6397694652 7449664578 7997118315 10662824420 12416107630 14899329156 15994236630 18624161445 24832215260 31988473260 37248322890 74496645780 185000003687 370000007374 555000011061 740000014748 925000018435 1110000022122 1850000036870 2220000044244 2775000055305 3700000073740 5550000110610 11100000221220