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20111222112100 = 2252748175964359
BaseRepresentation
bin1001001001010100000100…
…01111111111111101100100
32122012121120122111012122221
410210222002033333331210
510114000240330041400
6110434545022002124
74143662555254240
oct444520217777544
978177518435587
1020111222112100
116454137647049
122309833716344
13b2b631a479a2
144d7561889420
1524d2143d5c1a
hex124a823fff64

20111222112100 has 72 divisors (see below), whose sum is σ = 49886193329280. Its totient is φ = 6893843550720.

The previous prime is 20111222112097. The next prime is 20111222112101. The reversal of 20111222112100 is 121122211102.

It is a super-2 number, since 2×201112221121002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20111222112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389721 + ... + 6354079.

It is an arithmetic number, because the mean of its divisors is an integer number (692863796240).

Almost surely, 220111222112100 is an apocalyptic number.

20111222112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111222112100 is an abundant number, since it is smaller than the sum of its proper divisors (29774971217180).

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

20111222112100 is a wasteful number, since it uses less digits than its factorization.

20111222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969197 (or 5969190 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20111222112100 its reverse (121122211102), we get a palindrome (20232344323202).

The spelling of 20111222112100 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 4817 9634 19268 24085 33719 48170 67438 96340 120425 134876 168595 240850 337190 481700 674380 842975 1685950 3371900 5964359 11928718 23857436 29821795 41750513 59643590 83501026 119287180 149108975 167002052 208752565 298217950 417505130 596435900 835010260 1043762825 2087525650 4175051300 28730317303 57460634606 114921269212 143651586515 201112221121 287303173030 402224442242 574606346060 718257932575 804448884484 1005561105605 1436515865150 2011122211210 2873031730300 4022244422420 5027805528025 10055611056050 20111222112100