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22130041141 = 1324112132633
BaseRepresentation
bin10100100111000011…
…011010000100110101
32010010021120120101101
4110213003122010311
5330310242304031
614055535330101
71412255150245
oct244703320465
963107516341
1022130041141
1194269164aa
124357380931
132118a83400
1410dd151b25
15897c69361
hex5270da135

22130041141 has 24 divisors (see below), whose sum is σ = 24577337736. Its totient is φ = 19905500160.

The previous prime is 22130041127. The next prime is 22130041147. The reversal of 22130041141 is 14114003122.

It can be written as a sum of positive squares in 12 ways, for example, as 22110203025 + 19838116 = 148695^2 + 4454^2 .

It is a de Polignac number, because none of the positive numbers 2k-22130041141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130041147) 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, 8403561 + ... + 8406193.

It is an arithmetic number, because the mean of its divisors is an integer number (1024055739).

Almost surely, 222130041141 is an apocalyptic number.

It is an amenable number.

22130041141 is a deficient number, since it is larger than the sum of its proper divisors (2447296595).

22130041141 is a wasteful number, since it uses less digits than its factorization.

22130041141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 22130041141 its reverse (14114003122), we get a palindrome (36244044263).

The spelling of 22130041141 in words is "twenty-two billion, one hundred thirty million, forty-one thousand, one hundred forty-one".

Divisors: 1 13 41 169 533 1213 2633 6929 15769 34229 49733 107953 204997 444977 646529 1403389 3193829 8404877 18244057 41519777 130946989 539757101 1702310857 22130041141