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202140433311 = 34145714992399
BaseRepresentation
bin1011110001000010000…
…0100011101110011111
3201022202111212222000020
42330100200203232133
511302440422331221
6232510111003223
720414141222235
oct2742040435637
9638674788006
10202140433311
1178800006453
1233214509513
13160a58c5b6b
149ad8494955
1553d1326ac6
hex2f10823b9f

202140433311 has 32 divisors (see below), whose sum is σ = 276998400000. Its totient is φ = 131043601920.

The previous prime is 202140433277. The next prime is 202140433349. The reversal of 202140433311 is 113334041202.

It is a happy number.

202140433311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202140433311 - 29 = 202140432799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202140433361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84259090 + ... + 84261488.

It is an arithmetic number, because the mean of its divisors is an integer number (8656200000).

Almost surely, 2202140433311 is an apocalyptic number.

202140433311 is a deficient number, since it is larger than the sum of its proper divisors (74857966689).

202140433311 is a wasteful number, since it uses less digits than its factorization.

202140433311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202140433311 its reverse (113334041202), we get a palindrome (315474474513).

The spelling of 202140433311 in words is "two hundred two billion, one hundred forty million, four hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 41 123 457 1371 1499 2399 4497 7197 18737 56211 61459 98359 184377 295077 685043 1096343 2055129 3289029 3596101 10788303 28086763 44950063 84260289 134850189 147440141 442320423 1643418157 4930254471 67380144437 202140433311