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10013113202301 = 3211277491743657
BaseRepresentation
bin1001000110110101110000…
…0011100011011001111101
31022110020121002000221122200
42101231130003203121331
52303023323434433201
633143543302302113
72052265164621636
oct221553403433175
938406532027580
1010013113202301
1132105a03a7aa0
121158737427939
13578303b14021
142688cc92488d
151256e62a6386
hex91b5c0e367d

10013113202301 has 48 divisors (see below), whose sum is σ = 15867472390848. Its totient is φ = 6034322246400.

The previous prime is 10013113202273. The next prime is 10013113202311. The reversal of 10013113202301 is 10320231131001.

10013113202301 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 320 + 2 + 30 + 1 = 666.

It is not a de Polignac number, because 10013113202301 - 26 = 10013113202237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013113202311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13092865 + ... + 13836521.

It is an arithmetic number, because the mean of its divisors is an integer number (330572341476).

Almost surely, 210013113202301 is an apocalyptic number.

10013113202301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013113202301 is a deficient number, since it is larger than the sum of its proper divisors (5854359188547).

10013113202301 is a wasteful number, since it uses less digits than its factorization.

10013113202301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744442 (or 744439 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013113202301 its reverse (10320231131001), we get a palindrome (20333344333302).

The spelling of 10013113202301 in words is "ten trillion, thirteen billion, one hundred thirteen million, two hundred two thousand, three hundred one".

Divisors: 1 3 9 11 33 99 277 491 831 1473 2493 3047 4419 5401 9141 16203 27423 48609 136007 408021 743657 1224063 1496077 2230971 4488231 6692913 8180227 13464693 24540681 73622043 205992989 365135587 617978967 1095406761 1853936901 2265922879 3286220283 4016491457 6797768637 12049474371 20393305911 36148423113 101142557599 303427672797 910283018391 1112568133589 3337704400767 10013113202301