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12540232135035 = 32511373592311467
BaseRepresentation
bin1011011001111100000000…
…0101001111000101111011
31122101211112100011000221100
42312133000011033011323
53120424343411310120
642400523023342443
72433000433260243
oct266370005170573
948354470130840
1012540232135035
113aa5312131880
1214a646a451a23
136cc700a18c07
14314d44158b23
1516b300ae1490
hexb67c014f17b

12540232135035 has 96 divisors (see below), whose sum is σ = 23782099131648. Its totient is φ = 6062259490560.

The previous prime is 12540232135019. The next prime is 12540232135037. The reversal of 12540232135035 is 53053123204521.

12540232135035 is a `hidden beast` number, since 1 + 2 + 5 + 40 + 232 + 1 + 350 + 35 = 666.

It is not a de Polignac number, because 12540232135035 - 24 = 12540232135019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12540232135037) 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 95 ways as a sum of consecutive naturals, for example, 1093587372 + ... + 1093598838.

It is an arithmetic number, because the mean of its divisors is an integer number (247730199288).

Almost surely, 212540232135035 is an apocalyptic number.

12540232135035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12540232135035 is a deficient number, since it is larger than the sum of its proper divisors (11241866996613).

12540232135035 is a wasteful number, since it uses less digits than its factorization.

12540232135035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 12540232135035 its reverse (53053123204521), we get a palindrome (65593355339556).

The spelling of 12540232135035 in words is "twelve trillion, five hundred forty billion, two hundred thirty-two million, one hundred thirty-five thousand, thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 373 495 1119 1865 3357 4103 5595 5923 11467 12309 16785 17769 20515 29615 34401 36927 53307 57335 61545 65153 88845 103203 126137 172005 184635 195459 266535 325765 378411 516015 586377 630685 977295 1135233 1892055 2209279 2931885 4277191 5676165 6627837 11046395 12831573 19883511 21385955 24302069 33139185 38494719 47049101 64157865 67919041 72906207 99417555 121510345 141147303 192473595 203757123 218718621 235245505 339595205 364531035 423441909 611271369 705736515 747109451 1018785615 1093593105 2117209545 2241328353 3056356845 3735547255 6723985059 11206641765 25333802293 33619925295 76001406879 126669011465 228004220637 278671825223 380007034395 836015475669 1140021103185 1393359126115 2508046427007 4180077378345 12540232135035