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204014232401301 = 32767179999268519
BaseRepresentation
bin101110011000110011000011…
…110110011111010110010101
3222202100120101122002122201200
4232120303003312133112111
5203220032121443320201
62001522502225143113
760654353602613160
oct5630630366372625
9882316348078650
10204014232401301
115a006a4a606743
121aa6b3a978aa99
1389ab5c888673a
1438544ad254ad7
15188bd29787386
hexb98cc3d9f595

204014232401301 has 48 divisors (see below), whose sum is σ = 341815219200000. Its totient is φ = 114838502242464.

The previous prime is 204014232401257. The next prime is 204014232401339. The reversal of 204014232401301 is 103104232410402.

204014232401301 is a `hidden beast` number, since 2 + 0 + 401 + 4 + 2 + 3 + 240 + 13 + 0 + 1 = 666.

It is not a de Polignac number, because 204014232401301 - 226 = 204014165292437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204014232401701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759641520 + ... + 759910038.

It is an arithmetic number, because the mean of its divisors is an integer number (7121150400000).

Almost surely, 2204014232401301 is an apocalyptic number.

204014232401301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204014232401301 is a deficient number, since it is larger than the sum of its proper divisors (137800986798699).

204014232401301 is a wasteful number, since it uses less digits than its factorization.

204014232401301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448598 (or 448595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204014232401301 its reverse (103104232410402), we get a palindrome (307118464811703).

The spelling of 204014232401301 in words is "two hundred four trillion, fourteen billion, two hundred thirty-two million, four hundred one thousand, three hundred one".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 179999 268519 539997 805557 1259993 1619991 1879633 2416671 3779979 5638899 11339937 12059933 16916697 17990773 36179799 53972319 84419531 108539397 125935411 161916957 253258593 377806233 759775779 1133418699 48333151481 144999454443 338332060367 434998363329 1014996181101 3044988543303 3238321149227 9714963447681 22668248044589 29144890343043 68004744133767 204014232401301