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11140123365 = 3257293173847
BaseRepresentation
bin10100110000000000…
…01100101011100101
31001202101002220100200
422120000030223211
5140303332421430
65041231301113
7543030325530
oct123000145345
931671086320
1011140123365
1147a7344628
1221aa97a799
131086c78b97
14779747a17
1545301c460
hex29800cae5

11140123365 has 96 divisors (see below), whose sum is σ = 22906990080. Its totient is φ = 4900234752.

The previous prime is 11140123363. The next prime is 11140123381. The reversal of 11140123365 is 56332104111.

It is a happy number.

It is not a de Polignac number, because 11140123365 - 21 = 11140123363 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140123361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2893872 + ... + 2897718.

It is an arithmetic number, because the mean of its divisors is an integer number (238614480).

Almost surely, 211140123365 is an apocalyptic number.

11140123365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11140123365 is an abundant number, since it is smaller than the sum of its proper divisors (11766866715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11140123365 is a wasteful number, since it uses less digits than its factorization.

11140123365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11140123365 its reverse (56332104111), we get a palindrome (67472227476).

The spelling of 11140123365 in words is "eleven billion, one hundred forty million, one hundred twenty-three thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 317 435 609 951 1015 1305 1585 1827 2219 2853 3045 3847 4755 6657 9135 9193 11095 11541 14265 19235 19971 26929 27579 33285 34623 45965 57705 64351 80787 82737 99855 111563 134645 137895 173115 193053 242361 321755 334689 403935 413685 557815 579159 780941 965265 1004067 1211805 1219499 1673445 2342823 2895795 3658497 3904705 5020335 6097495 7028469 8536493 10975491 11714115 18292485 25609479 35142345 35365471 42682465 54877455 76828437 106096413 128047395 176827355 247558297 318289239 384142185 530482065 742674891 1237791485 1591446195 2228024673 3713374455 11140123365