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10015001601 = 3111272123857
BaseRepresentation
bin10010101001111000…
…01100110000000001
3221211221222210110020
421110330030300001
5131002320022401
64333440124053
7503116052253
oct112474146001
927757883406
1010015001601
11427a230a30
121b36006629
13c37b40767
146b0149cd3
153d9372d36
hex254f0cc01

10015001601 has 16 divisors (see below), whose sum is σ = 14569030848. Its totient is φ = 6068966400.

The previous prime is 10015001587. The next prime is 10015001611. The reversal of 10015001601 is 10610051001.

It is a de Polignac number, because none of the positive numbers 2k-10015001601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10015001611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407865 + ... + 431721.

It is an arithmetic number, because the mean of its divisors is an integer number (910564428).

Almost surely, 210015001601 is an apocalyptic number.

10015001601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10015001601 is a deficient number, since it is larger than the sum of its proper divisors (4554029247).

10015001601 is a wasteful number, since it uses less digits than its factorization.

10015001601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36592.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10015001601 its reverse (10610051001), we get a palindrome (20625052602).

The spelling of 10015001601 in words is "ten billion, fifteen million, one thousand, six hundred one".

Divisors: 1 3 11 33 12721 23857 38163 71571 139931 262427 419793 787281 303484897 910454691 3338333867 10015001601