Search a number
-
+
12100541431 = 112371673637
BaseRepresentation
bin10110100010011111…
…11001101111110111
31011020022022012021011
423101033321233313
5144240214311211
65320420333051
7605601622306
oct132117715767
934208265234
1012100541431
11514a492970
122418544187
1311aac378b4
1482b11043d
154ac4d0921
hex2d13f9bf7

12100541431 has 16 divisors (see below), whose sum is σ = 13968557568. Its totient is φ = 10373994400.

The previous prime is 12100541429. The next prime is 12100541447. The reversal of 12100541431 is 13414500121.

It is not a de Polignac number, because 12100541431 - 21 = 12100541429 is a prime.

It is a super-2 number, since 2×121005414312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100541491) 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 15 ways as a sum of consecutive naturals, for example, 318856 + ... + 354781.

It is an arithmetic number, because the mean of its divisors is an integer number (873034848).

Almost surely, 212100541431 is an apocalyptic number.

12100541431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12100541431 is a deficient number, since it is larger than the sum of its proper divisors (1868016137).

12100541431 is a wasteful number, since it uses less digits than its factorization.

12100541431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673742.

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 12100541431 in words is "twelve billion, one hundred million, five hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 11 23 71 253 781 1633 17963 673637 7410007 15493651 47828227 170430161 526110497 1100049221 12100541431