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1201340241 = 3617315359
BaseRepresentation
bin100011110011010…
…1111111101010001
310002201112102000000
41013212233331101
54430020341431
6315112520213
741525136453
oct10746577521
93081472000
101201340241
11567141782
122963b0069
13161b7351a
14b579c2d3
15707029e6
hex479aff51

1201340241 has 112 divisors (see below), whose sum is σ = 2039800320. Its totient is φ = 703572480.

The previous prime is 1201340213. The next prime is 1201340249. The reversal of 1201340241 is 1420431021.

It is not a de Polignac number, because 1201340241 - 230 = 127598417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201340249) 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 111 ways as a sum of consecutive naturals, for example, 20361670 + ... + 20361728.

Almost surely, 21201340241 is an apocalyptic number.

It is an amenable number.

1201340241 is a deficient number, since it is larger than the sum of its proper divisors (838460079).

1201340241 is an equidigital number, since it uses as much as digits as its factorization.

1201340241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201340241 is about 34660.3554655748. The cubic root of 1201340241 is about 1063.0540382634.

Adding to 1201340241 its reverse (1420431021), we get a palindrome (2621771262).

The spelling of 1201340241 in words is "one billion, two hundred one million, three hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 17 27 31 51 53 59 81 93 153 159 177 243 279 459 477 527 531 729 837 901 1003 1377 1431 1581 1593 1643 1829 2511 2703 3009 3127 4131 4293 4743 4779 4929 5487 7533 8109 9027 9381 12393 12879 14229 14337 14787 16461 22599 24327 27081 27931 28143 31093 38637 42687 43011 44361 49383 53159 72981 81243 83793 84429 93279 96937 128061 133083 148149 159477 218943 243729 251379 253287 279837 290811 384183 399249 444447 478431 656829 731187 754137 759861 839511 872433 1197747 1333341 1435293 1647929 2262411 2279583 2518533 2617299 4305879 4943787 6787233 7555599 7851897 12917637 14831361 20361699 22666797 23555691 38752911 44494083 70667073 133482249 400446747 1201340241