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514203540523101 = 321131321859151057
BaseRepresentation
bin111010011101010100101011…
…1011000000000100001011101
32111102122101012211220111022200
41310322221113120000201131
51014344202322333214401
65021341502340402113
7213210660041406162
oct16472512730004135
92442571184814280
10514203540523101
11139928551404000
12498081113a6339
13190bc2552c1090
1490d9826cb6069
153e6a9329d4686
hex1d3aa5760085d

514203540523101 has 96 divisors (see below), whose sum is σ = 879845369370240. Its totient is φ = 287651252021760.

The previous prime is 514203540523097. The next prime is 514203540523103. The reversal of 514203540523101 is 101325045302415.

514203540523101 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 0 + 3 + 540 + 5 + 2 + 3 + 101 = 666.

It is not a de Polignac number, because 514203540523101 - 22 = 514203540523097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514203540523103) 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, 3403960965 + ... + 3404112021.

It is an arithmetic number, because the mean of its divisors is an integer number (9165055930940).

Almost surely, 2514203540523101 is an apocalyptic number.

It is an amenable number.

514203540523101 is a deficient number, since it is larger than the sum of its proper divisors (365641828847139).

514203540523101 is a wasteful number, since it uses less digits than its factorization.

514203540523101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172968 (or 172943 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 514203540523101 its reverse (101325045302415), we get a palindrome (615528585825516).

The spelling of 514203540523101 in words is "five hundred fourteen trillion, two hundred three billion, five hundred forty million, five hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1331 1573 3993 4719 11979 14157 17303 21859 51909 65577 151057 155727 196731 240449 284167 453171 721347 852501 1359513 1661627 1963741 2164041 2557503 2644939 3125837 4984881 5891223 7934817 9377511 14954643 17673669 18277897 21601151 23804451 28132533 29094329 34384207 54833691 64803453 87282987 103152621 164501073 194410359 201056867 237612661 261848961 309457863 378226277 603170601 712837983 1134678831 1809511803 2138513949 2613739271 3301954963 3404036493 7841217813 9905864889 23523653439 29717594667 36321504593 42925414519 108964513779 128776243557 326893541337 386328730671 399536550523 472179559709 1198609651569 1416538679127 3595828954707 4249616037381 4394902055753 5193975156799 13184706167259 15581925470397 39554118501777 46745776411191 57133726724789 171401180174367 514203540523101