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205055245121103 = 34132831051171719
BaseRepresentation
bin101110100111111100100101…
…000010110111011001001111
3222220001002102121012010010000
4232213330211002313121033
5203334111120222333403
62004041025032415343
761122516063001656
oct5647744502673117
9886032377163100
10205055245121103
115a378494100a93
121abb90b6847553
138a5581b976500
14388ca2656819d
1518a8e5687a7a3
hexba7f250b764f

205055245121103 has 120 divisors (see below), whose sum is σ = 336010126193280. Its totient is φ = 124548164395200.

The previous prime is 205055245121101. The next prime is 205055245121179. The reversal of 205055245121103 is 301121542550502.

205055245121103 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 5 + 5 + 24 + 512 + 110 + 3 = 666.

It is not a de Polignac number, because 205055245121103 - 21 = 205055245121101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205055245121101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1194046678 + ... + 1194218396.

It is an arithmetic number, because the mean of its divisors is an integer number (2800084384944).

Almost surely, 2205055245121103 is an apocalyptic number.

205055245121103 is a deficient number, since it is larger than the sum of its proper divisors (130954881072177).

205055245121103 is a wasteful number, since it uses less digits than its factorization.

205055245121103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172891 (or 172869 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 205055245121103 its reverse (301121542550502), we get a palindrome (506176787671605).

The spelling of 205055245121103 in words is "two hundred five trillion, fifty-five billion, two hundred forty-five million, one hundred twenty-one thousand, one hundred three".

Divisors: 1 3 9 13 27 39 81 83 117 169 249 351 507 747 1051 1053 1079 1521 2241 3153 3237 4563 6723 9459 9711 13663 13689 14027 28377 29133 40989 42081 85131 87233 87399 122967 126243 171719 177619 261699 368901 378729 515157 532857 785097 1106703 1134029 1136187 1545471 1598571 2232347 2355291 3402087 4636413 4795713 6697041 7065873 10206261 13909239 14252677 14387139 14742377 20091123 29020511 30618783 42758031 44227131 60273369 87061533 91856349 128274093 132681393 180476669 180820107 185284801 261184599 384822279 398044179 541430007 555854403 783553797 1154466837 1194132537 1624290021 1667563209 2346196697 2350661391 2408702413 4872870063 5002689627 7038590091 7226107239 14618610189 14979563527 15008068881 21115770273 21678321717 30500557061 44938690581 63347310819 65034965151 91501671183 134816071743 190041932457 194734325851 195104895453 274505013549 404448215229 584202977553 823515040647 1213344645687 1752608932659 2470545121941 2531546236063 5257826797977 7594638708189 15773480393931 22783916124567 68351748373701 205055245121103