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22131021102003 = 321136130286637
BaseRepresentation
bin1010000100000110001111…
…01001101011101110110011
32220100201000220121221212100
411002003013221223232303
510400043312400231003
6115022503432031443
74442625222354042
oct502030751535663
986321026557770
1022131021102003
117062793504000
122595182232583
13c46c3c1379a8
1456720ba58559
15285a2a675ba3
hex1420c7a6bbb3

22131021102003 has 48 divisors (see below), whose sum is σ = 35737748253792. Its totient is φ = 13192858641600.

The previous prime is 22131021101993. The next prime is 22131021102079. The reversal of 22131021102003 is 30020112013122.

22131021102003 is a `hidden beast` number, since 221 + 31 + 0 + 211 + 0 + 200 + 3 = 666.

It is not a de Polignac number, because 22131021102003 - 25 = 22131021101971 is a prime.

It is a super-2 number, since 2×221310211020032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22131021101003) 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 47 ways as a sum of consecutive naturals, for example, 14412600 + ... + 15874037.

It is an arithmetic number, because the mean of its divisors is an integer number (744536421954).

Almost surely, 222131021102003 is an apocalyptic number.

22131021102003 is a deficient number, since it is larger than the sum of its proper divisors (13606727151789).

22131021102003 is a wasteful number, since it uses less digits than its factorization.

22131021102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30286737 (or 30286712 counting only the distinct ones).

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

Adding to 22131021102003 its reverse (30020112013122), we get a palindrome (52151133115125).

The spelling of 22131021102003 in words is "twenty-two trillion, one hundred thirty-one billion, twenty-one million, one hundred two thousand, three".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 671 1089 1331 2013 3993 6039 7381 11979 22143 66429 81191 243573 730719 30286637 90859911 272579733 333153007 999459021 1847484857 2998377063 3664683077 5542454571 10994049231 16627363713 20322333427 32982147693 40311513847 60967000281 120934541541 182901000843 223545667697 362803624623 670637003091 2011911009273 2459002344667 7377007034001 22131021102003