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113534453523135 = 35434771137385027
BaseRepresentation
bin11001110100001001001100…
…110001011010001010111111
3112212222210021021102002102010
4121310021030301122022333
5104340122030100220020
61041245001413102303
732625410412000531
oct3164111461321277
9485883237362363
10113534453523135
11331a27671a4227
12108978a2927993
134b47339b970b8
14200714db53851
15d1d459670de0
hex67424cc5a2bf

113534453523135 has 128 divisors (see below), whose sum is σ = 193913949487104. Its totient is φ = 56653156869120.

The previous prime is 113534453523121. The next prime is 113534453523137. The reversal of 113534453523135 is 531325354435311.

113534453523135 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 113534453523135 - 211 = 113534453521087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113534453523137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 294681492 + ... + 295066518.

It is an arithmetic number, because the mean of its divisors is an integer number (1514952730368).

Almost surely, 2113534453523135 is an apocalyptic number.

113534453523135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113534453523135 is a deficient number, since it is larger than the sum of its proper divisors (80379495963969).

113534453523135 is a wasteful number, since it uses less digits than its factorization.

113534453523135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385333.

The product of its digits is 4860000, while the sum is 48.

The spelling of 113534453523135 in words is "one hundred thirteen trillion, five hundred thirty-four billion, four hundred fifty-three million, five hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 15 43 47 71 129 137 141 213 215 235 355 411 645 685 705 1065 2021 2055 3053 3337 5891 6063 6439 9159 9727 10011 10105 15265 16685 17673 19317 29181 29455 30315 32195 45795 48635 50055 88365 96585 143491 145905 276877 385027 418261 430473 457169 717455 830631 1155081 1254783 1371507 1384385 1925135 2091305 2152365 2285845 4153155 5775405 6273915 6857535 16556161 18096269 19658267 27336917 49668483 52748699 54288807 58974801 82010751 82780805 90481345 98291335 136684585 158246097 248342415 263743495 271444035 294874005 410053755 778139567 791230485 1175487431 1284835099 2268194057 2334418701 2479188853 3526462293 3745157629 3854505297 3890697835 5877437155 6424175495 6804582171 7437566559 11235472887 11340970285 11672093505 12395944265 17632311465 18725788145 19272526485 34022910855 37187832795 55247909257 56177364435 106605120679 161041778047 165743727771 176022408563 276239546285 319815362037 483125334141 528067225689 533025603395 805208890235 828718638855 880112042815 1599076810185 2415626670705 2640336128445 7568963568209 22706890704627 37844817841045 113534453523135