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23145222301605 = 345229249557629
BaseRepresentation
bin1010100001100111010101…
…10000001110011110100101
310000221122212100010001220000
411100303222300032132211
511013202403402122410
6121120433543331513
74606121120333265
oct520635260163645
9100848770101800
1023145222301605
11741391965a398
122719848150b99
13cbb77b5c9701
145a034018d7a5
152a20d8a14dc0
hex150ceac0e7a5

23145222301605 has 40 divisors (see below), whose sum is σ = 41671133057400. Its totient is φ = 12290214063744.

The previous prime is 23145222301589. The next prime is 23145222301613. The reversal of 23145222301605 is 50610322254132.

23145222301605 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 5 + 22 + 23 + 0 + 1 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10815896295009 + 12329326006596 = 3288753^2 + 3511314^2 .

It is not a de Polignac number, because 23145222301605 - 24 = 23145222301589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23145222301605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124686070 + ... + 124871559.

It is an arithmetic number, because the mean of its divisors is an integer number (1041778326435).

Almost surely, 223145222301605 is an apocalyptic number.

It is an amenable number.

23145222301605 is a deficient number, since it is larger than the sum of its proper divisors (18525910755795).

23145222301605 is a wasteful number, since it uses less digits than its factorization.

23145222301605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249557875 (or 249557866 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23145222301605 its reverse (50610322254132), we get a palindrome (73755544555737).

The spelling of 23145222301605 in words is "twenty-three trillion, one hundred forty-five billion, two hundred twenty-two million, three hundred one thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 229 405 687 1145 2061 3435 6183 10305 18549 30915 92745 249557629 748672887 1247788145 2246018661 3743364435 6738055983 11230093305 20214167949 33690279915 57148697041 101070839745 171446091123 285743485205 514338273369 857230455615 1543014820107 2571691366845 4629044460321 7715074100535 23145222301605