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10145036143125 = 33541346245179
BaseRepresentation
bin1001001110100001001101…
…0001101000101000010101
31022220212010000022201012000
42103220103101220220111
52312204013223040000
633324322032545513
72064645311253522
oct223502321505025
938825100281160
1010145036143125
113261538471014
12117a2140b2299
135878991c2260
1427104554a149
15128d67d5a000
hex93a13468a15

10145036143125 has 80 divisors (see below), whose sum is σ = 20225791924800. Its totient is φ = 4994479224000.

The previous prime is 10145036143117. The next prime is 10145036143153. The reversal of 10145036143125 is 52134163054101.

10145036143125 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 3 + 614 + 31 + 2 + 5 = 666.

It is not a de Polignac number, because 10145036143125 - 23 = 10145036143117 is a prime.

It is a super-3 number, since 3×101450361431253 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10145036143125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22903215 + ... + 23341964.

It is an arithmetic number, because the mean of its divisors is an integer number (252822399060).

Almost surely, 210145036143125 is an apocalyptic number.

10145036143125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10145036143125 is a deficient number, since it is larger than the sum of its proper divisors (10080755781675).

10145036143125 is an equidigital number, since it uses as much as digits as its factorization.

10145036143125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46245221 (or 46245200 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10145036143125 its reverse (52134163054101), we get a palindrome (62279199197226).

The spelling of 10145036143125 in words is "ten trillion, one hundred forty-five billion, thirty-six million, one hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 195 225 325 351 375 585 625 675 975 1125 1625 1755 1875 2925 3375 4875 5625 8125 8775 14625 16875 24375 43875 73125 219375 46245179 138735537 231225895 416206611 601187327 693677685 1156129475 1248619833 1803561981 2081033055 3005936635 3468388425 5410685943 5780647375 6243099165 9017809905 10405165275 15029683175 16232057829 17341942125 27053429715 28903236875 31215495825 45089049525 52025826375 75148415875 81160289145 86709710625 135267148575 156077479125 225445247625 260129131875 375742079375 405801445725 676335742875 780387395625 1127226238125 2029007228625 3381678714375 10145036143125