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201034102401 = 32117128600669
BaseRepresentation
bin1011101100111010010…
…0001111011010000001
3201012220102010112022100
42323032210033122001
511243204212234101
6232204230301013
720344545450546
oct2731644173201
9635812115270
10201034102401
1178292567690
1232b65ab7769
1315c5a6396a2
149a31588bcd
15536913ee86
hex2ece90f681

201034102401 has 24 divisors (see below), whose sum is σ = 321242725440. Its totient is φ = 120122805600.

The previous prime is 201034102387. The next prime is 201034102421. The reversal of 201034102401 is 104201430102.

201034102401 is a `hidden beast` number, since 2 + 0 + 10 + 3 + 410 + 240 + 1 = 666.

201034102401 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 201034102401 - 29 = 201034101889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201034102421) 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 23 ways as a sum of consecutive naturals, for example, 14293306 + ... + 14307363.

It is an arithmetic number, because the mean of its divisors is an integer number (13385113560).

Almost surely, 2201034102401 is an apocalyptic number.

It is an amenable number.

201034102401 is a deficient number, since it is larger than the sum of its proper divisors (120208623039).

201034102401 is a wasteful number, since it uses less digits than its factorization.

201034102401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28600757 (or 28600754 counting only the distinct ones).

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

Adding to 201034102401 its reverse (104201430102), we get a palindrome (305235532503).

The spelling of 201034102401 in words is "two hundred one billion, thirty-four million, one hundred two thousand, four hundred one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 28600669 85802007 257406021 314607359 943822077 2030647499 2831466231 6091942497 18275827491 22337122489 67011367467 201034102401