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20111211220100 = 225271113200911201
BaseRepresentation
bin1001001001010100000011…
…00110011100110010000100
32122012121112212222211122112
410210222001212130302010
510114000230033020400
6110434543552320152
74143662363551160
oct444520146346204
978177485884575
1020111211220100
1164541314877a0
12230982bb43058
13b2b62c703110
144d7560251ca0
1524d213483835
hex124a8199cc84

20111211220100 has 144 divisors (see below), whose sum is σ = 58595350240896. Its totient is φ = 5786242560000.

The previous prime is 20111211220073. The next prime is 20111211220123. The reversal of 20111211220100 is 102211211102.

It is a super-2 number, since 2×201112112201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 100355501 + ... + 100555700.

Almost surely, 220111211220100 is an apocalyptic number.

20111211220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111211220100 is an abundant number, since it is smaller than the sum of its proper divisors (38484139020796).

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

20111211220100 is a wasteful number, since it uses less digits than its factorization.

20111211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200911246 (or 200911239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20111211220100 its reverse (102211211102), we get a palindrome (20213422431202).

The spelling of 20111211220100 in words is "twenty trillion, one hundred eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 200911201 401822402 803644804 1004556005 1406378407 2009112010 2210023211 2611845613 2812756814 4018224020 4420046422 5022780025 5223691226 5625513628 7031892035 8840092844 10045560050 10447382452 11050116055 13059228065 14063784070 15470162477 18282919291 20091120100 22100232110 26118456130 28127568140 28730301743 30940324954 35159460175 36565838582 44200464220 52236912260 55250580275 57460603486 61880649908 65296140325 70318920350 73131677164 77350812385 91414596455 110501160550 114921206972 130592280650 140637840700 143651508715 154701624770 182829192910 201112112201 221002321100 261184561300 287303017430 309403249540 365658385820 386754061925 402224224402 457072982275 574606034860 718257543575 773508123850 804448448804 914145964550 1005560561005 1436515087150 1547016247700 1828291929100 2011121122010 2873030174300 4022242244020 5027802805025 10055605610050 20111211220100