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22102032141 = 337473317517
BaseRepresentation
bin10100100101011000…
…100011111100001101
32010001022212120021000
4110211120203330031
5330231110012031
614053055130513
71411465113330
oct244530437415
963038776230
1022102032141
119412025972
124349b13a39
132113027737
1410d9540617
158955853e6
hex525623f0d

22102032141 has 64 divisors (see below), whose sum is σ = 38338191360. Its totient is φ = 12322031040.

The previous prime is 22102032119. The next prime is 22102032143. The reversal of 22102032141 is 14123020122.

It is a happy number.

It is not a de Polignac number, because 22102032141 - 226 = 22034923277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102032143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2936515 + ... + 2944031.

It is an arithmetic number, because the mean of its divisors is an integer number (599034240).

Almost surely, 222102032141 is an apocalyptic number.

22102032141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22102032141 is a deficient number, since it is larger than the sum of its proper divisors (16236159219).

22102032141 is a wasteful number, since it uses less digits than its factorization.

22102032141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22102032141 its reverse (14123020122), we get a palindrome (36225052263).

The spelling of 22102032141 in words is "twenty-two billion, one hundred two million, thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 47 63 141 189 329 331 423 987 993 1269 2317 2961 2979 6951 7517 8883 8937 15557 20853 22551 46671 52619 62559 67653 108899 140013 157857 202959 326697 353299 420039 473571 980091 1059897 1420713 2473093 2488127 2940273 3179691 7419279 7464381 9539073 17416889 22257837 22393143 52250667 66773511 67179429 116941969 156752001 350825907 470256003 818593783 1052477721 2455781349 3157433163 7367344047 22102032141