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34132221030201 = 373191957051629
BaseRepresentation
bin1111100001011000001101…
…11010001110111100111001
311110212000020011120201200220
413300230012322032330321
513433210242040431301
6200332043104450253
710121654153535360
oct760540672167471
9143760204521626
1034132221030201
11a96a436a456a8
1239b3077919989
1316078682c5158
14860018b487d7
153e2ccdaba936
hex1f0b06e8ef39

34132221030201 has 32 divisors (see below), whose sum is σ = 53747199590400. Its totient is φ = 18854422021440.

The previous prime is 34132221030163. The next prime is 34132221030239. The reversal of 34132221030201 is 10203012223143.

It is an interprime number because it is at equal distance from previous prime (34132221030163) and next prime (34132221030239).

It is not a de Polignac number, because 34132221030201 - 219 = 34132220505913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34132221030241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27927546 + ... + 29124083.

It is an arithmetic number, because the mean of its divisors is an integer number (1679599987200).

Almost surely, 234132221030201 is an apocalyptic number.

34132221030201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34132221030201 is a deficient number, since it is larger than the sum of its proper divisors (19614978560199).

34132221030201 is a wasteful number, since it uses less digits than its factorization.

34132221030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57052589.

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

Adding to 34132221030201 its reverse (10203012223143), we get a palindrome (44335233253344).

The spelling of 34132221030201 in words is "thirty-four trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty thousand, two hundred one".

Divisors: 1 3 7 21 31 93 217 651 919 2757 6433 19299 28489 85467 199423 598269 57051629 171154887 399361403 1198084209 1768600499 5305801497 12380203493 37140610479 52430447051 157291341153 367013129357 1101039388071 1625343858581 4876031575743 11377407010067 34132221030201