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204203321322 = 237111367507461
BaseRepresentation
bin1011111000101101110…
…1110110011111101010
3201112002021120112100220
42332023131312133222
511321202022240242
6233450521510510
720516230410060
oct2761335663752
9645067515326
10204203321322
11796694a6780
12336ab342436
13163440bb860
149c52440030
1554a24acbec
hex2f8b7767ea

204203321322 has 128 divisors (see below), whose sum is σ = 556535605248. Its totient is φ = 48228998400.

The previous prime is 204203321269. The next prime is 204203321327. The reversal of 204203321322 is 223123302402.

204203321322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204203321292 and 204203321301.

It is not an unprimeable number, because it can be changed into a prime (204203321327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148672 + ... + 656132.

It is an arithmetic number, because the mean of its divisors is an integer number (4347934416).

Almost surely, 2204203321322 is an apocalyptic number.

204203321322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204203321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278267802624).

204203321322 is an abundant number, since it is smaller than the sum of its proper divisors (352332283926).

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

204203321322 is a wasteful number, since it uses less digits than its factorization.

204203321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507564.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 204203321322 its reverse (223123302402), we get a palindrome (427326623724).

It can be divided in two parts, 204203 and 321322, that added together give a palindrome (525525).

The spelling of 204203321322 in words is "two hundred four billion, two hundred three million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 67 77 78 91 134 143 154 182 201 231 273 286 402 429 462 469 546 737 858 871 938 1001 1407 1474 1742 2002 2211 2613 2814 3003 4422 5159 5226 6006 6097 9581 10318 12194 15477 18291 19162 28743 30954 36582 57486 67067 134134 201201 402402 507461 1014922 1522383 3044766 3552227 5582071 6596993 7104454 10656681 11164142 13193986 16746213 19790979 21313362 33492426 33999887 39074497 39581958 46178951 67999774 72566923 78148994 92357902 101999661 117223491 138536853 145133846 203999322 217700769 234446982 237999209 277073706 373998757 435401538 441998531 475998418 507968461 713997627 747997514 883997062 1015936922 1121996271 1325995593 1427995254 1523905383 2243992542 2617991299 2651991186 3047810766 3093989717 4861983841 5235982598 6187979434 7853973897 9281969151 9723967682 14585951523 15707947794 18563938302 29171903046 34033886887 68067773774 102101660661 204203321322