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204350121054 = 23341263350947
BaseRepresentation
bin1011111001010000110…
…1110110010001011110
3201112110111210201202000
42332110031312101132
511322002112333204
6233513244143130
720522662240452
oct2762415662136
9645414721660
10204350121054
1179734352572
1233730537aa6
1316368639bc1
149c67b34662
1554b0309039
hex2f9437645e

204350121054 has 64 divisors (see below), whose sum is σ = 466957370880. Its totient is φ = 66202453440.

The previous prime is 204350121029. The next prime is 204350121061. The reversal of 204350121054 is 450121053402.

204350121054 is a `hidden beast` number, since 204 + 350 + 1 + 2 + 105 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406809 + ... + 757755.

It is an arithmetic number, because the mean of its divisors is an integer number (7296208920).

Almost surely, 2204350121054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204350121054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233478685440).

204350121054 is an abundant number, since it is smaller than the sum of its proper divisors (262607249826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204350121054 is a wasteful number, since it uses less digits than its factorization.

204350121054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351262 (or 351256 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 204350121054 its reverse (450121053402), we get a palindrome (654471174456).

The spelling of 204350121054 in words is "two hundred four billion, three hundred fifty million, one hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 263 369 526 738 789 1107 1578 2214 2367 4734 7101 10783 14202 21566 32349 64698 97047 194094 291141 350947 582282 701894 1052841 2105682 3158523 6317046 9475569 14388827 18951138 28777654 43166481 86332962 92299061 129499443 184598122 258998886 276897183 388498329 553794366 776996658 830691549 1661383098 2492074647 3784261501 4984149294 7568523002 11352784503 22705569006 34058353509 68116707018 102175060527 204350121054