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12605055001 = 711296438779
BaseRepresentation
bin10111011110101000…
…11110000000011001
31012112110122010202221
423233110132000121
5201303343230001
65442442024041
7624236125330
oct135724360031
935473563687
1012605055001
115389252430
1225394a8021
13125b610236
1487811cd17
154db93b1a1
hex2ef51e019

12605055001 has 32 divisors (see below), whose sum is σ = 16284441600. Its totient is φ = 9467599680.

The previous prime is 12605054999. The next prime is 12605055017. The reversal of 12605055001 is 10055050621.

12605055001 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 12605055001 - 21 = 12605054999 is a prime.

It is a super-3 number, since 3×126050550013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12605055091) 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 31 ways as a sum of consecutive naturals, for example, 1431430 + ... + 1440208.

It is an arithmetic number, because the mean of its divisors is an integer number (508888800).

Almost surely, 212605055001 is an apocalyptic number.

12605055001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12605055001 is a deficient number, since it is larger than the sum of its proper divisors (3679386599).

12605055001 is a wasteful number, since it uses less digits than its factorization.

12605055001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9469.

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 12605055001 in words is "twelve billion, six hundred five million, fifty-five thousand, one".

Divisors: 1 7 11 29 77 203 319 643 2233 4501 7073 8779 18647 49511 61453 96569 130529 205117 254591 675983 1435819 1782137 2800501 5644897 19603507 39514279 62093867 163702013 434657069 1145914091 1800722143 12605055001