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31411230201 = 3213299257657
BaseRepresentation
bin11101010000010000…
…010101010111111001
310000002002202211021100
4131100100111113321
51003312233331301
622232523402013
72161254023421
oct352020252771
9100062684240
1031411230201
111235990318a
126107683309
132c67876360
14173da41481
15c3c98b286
hex7504155f9

31411230201 has 24 divisors (see below), whose sum is σ = 50546812680. Its totient is φ = 18663434496.

The previous prime is 31411230197. The next prime is 31411230229. The reversal of 31411230201 is 10203211413.

31411230201 is a `hidden beast` number, since 3 + 1 + 411 + 230 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90725625 + 31320504576 = 9525^2 + 176976^2 .

It is not a de Polignac number, because 31411230201 - 22 = 31411230197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31411230241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4625436 + ... + 4632221.

It is an arithmetic number, because the mean of its divisors is an integer number (2106117195).

Almost surely, 231411230201 is an apocalyptic number.

It is an amenable number.

31411230201 is a deficient number, since it is larger than the sum of its proper divisors (19135582479).

31411230201 is a wasteful number, since it uses less digits than its factorization.

31411230201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257705 (or 9257702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31411230201 its reverse (10203211413), we get a palindrome (41614441614).

The spelling of 31411230201 in words is "thirty-one billion, four hundred eleven million, two hundred thirty thousand, two hundred one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 9257657 27772971 83318913 120349541 268472053 361048623 805416159 1083145869 2416248477 3490136689 10470410067 31411230201