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13032020010295 = 51113232937738547
BaseRepresentation
bin1011110110100100000011…
…1011000110010100110111
31201010211220212210120211201
42331221000323012110313
53202004034110312140
643414454412313331
72513350414243156
oct275510073062467
951124825716751
1013032020010295
114174937608420
121565839172847
13736bb66b2880
14330a7885759d
15178ed57c749a
hexbda40ec6537

13032020010295 has 128 divisors (see below), whose sum is σ = 20368326666240. Its totient is φ = 7861438126080.

The previous prime is 13032020010293. The next prime is 13032020010299. The reversal of 13032020010295 is 59201002023031.

It is not a de Polignac number, because 13032020010295 - 21 = 13032020010293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032020010293) 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 127 ways as a sum of consecutive naturals, for example, 17276212 + ... + 18014758.

It is an arithmetic number, because the mean of its divisors is an integer number (159127552080).

Almost surely, 213032020010295 is an apocalyptic number.

13032020010295 is a deficient number, since it is larger than the sum of its proper divisors (7336306655945).

13032020010295 is a wasteful number, since it uses less digits than its factorization.

13032020010295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738665.

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 13032020010295 in words is "thirteen trillion, thirty-two billion, twenty million, ten thousand, two hundred ninety-five".

Divisors: 1 5 11 13 23 29 37 55 65 115 143 145 185 253 299 319 377 407 481 667 715 851 1073 1265 1495 1595 1885 2035 2405 3289 3335 4147 4255 5291 5365 7337 8671 9361 11063 11803 13949 16445 20735 24679 26455 36685 43355 46805 55315 59015 69745 95381 121693 123395 153439 271469 320827 476905 608465 738547 767195 1357345 1604135 3529097 3692735 8124017 9601111 16986581 17645485 21417863 27326239 40620085 48005555 84932905 105612221 107089315 136631195 186852391 220825553 235596493 278432219 300588629 355241107 492610849 528061105 628503497 792460931 934261955 1104127765 1177982465 1392161095 1502943145 1776205535 2429081083 2463054245 3062754409 3142517485 3907652177 3962304655 5418719339 6403941037 6913538467 8170545461 8717070241 10301992103 12145405415 15313772045 18226601413 19538260885 27093596695 32019705185 34567692335 40852727305 43585351205 51509960515 70443351407 89876000071 91133007065 113321913133 200492615543 236945818369 352216757035 449380000355 566609565665 1002463077715 1184729091845 2606404002059 13032020010295