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22131331002100 = 22522329331804063
BaseRepresentation
bin1010000100000110110100…
…00111110110111011110100
32220100201211111202111212201
411002003122013312323310
510400044431214031400
6115022554302154244
74442636004435625
oct502033207667364
986321744674781
1022131331002100
11706293242a591
122595249b82984
13c46c8b3c0a28
1456723ac87a4c
15285a4798d06a
hex1420da1f6ef4

22131331002100 has 72 divisors (see below), whose sum is σ = 51841066959360. Its totient is φ = 8175652087680.

The previous prime is 22131331002089. The next prime is 22131331002103. The reversal of 22131331002100 is 120013313122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131331002103) 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 23 ways as a sum of consecutive naturals, for example, 165835332 + ... + 165968731.

It is an arithmetic number, because the mean of its divisors is an integer number (720014818880).

Almost surely, 222131331002100 is an apocalyptic number.

22131331002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131331002100 is an abundant number, since it is smaller than the sum of its proper divisors (29709735957260).

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

22131331002100 is a wasteful number, since it uses less digits than its factorization.

22131331002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331804129 (or 331804122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22131331002100 its reverse (120013313122), we get a palindrome (22251344315222).

The spelling of 22131331002100 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred thirty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16675 33350 66700 331804063 663608126 1327216252 1659020315 3318040630 6636081260 7631493449 8295101575 9622317827 15262986898 16590203150 19244635654 30525973796 33180406300 38157467245 38489271308 48111589135 76314934490 96223178270 152629868980 190787336225 192446356540 221313310021 240557945675 381574672450 442626620042 481115891350 763149344900 885253240084 962231782700 1106566550105 2213133100210 4426266200420 5532832750525 11065665501050 22131331002100