Search a number
-
+
100212002243001 = 32111759543673347
BaseRepresentation
bin10110110010010001101100…
…110010111100000110111001
3111010211011200201221022221200
4112302101230302330012321
5101113333140033234001
6553044431442324413
730052035556364325
oct2662215462740671
9433734621838850
10100212002243001
1129a26742821170
12b2a5910959709
1343bbc49c0384c
141aa6402d36985
15b8bb267a9086
hex5b246ccbc1b9

100212002243001 has 24 divisors (see below), whose sum is σ = 167198634761184. Its totient is φ = 57161926412160.

The previous prime is 100212002242993. The next prime is 100212002243033. The reversal of 100212002243001 is 100342200212001.

It is a happy number.

100212002243001 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 0 + 0 + 22 + 430 + 0 + 1 = 666.

100212002243001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100212002243001 - 23 = 100212002242993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212002243071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29771834991 + ... + 29771838356.

It is an arithmetic number, because the mean of its divisors is an integer number (6966609781716).

Almost surely, 2100212002243001 is an apocalyptic number.

100212002243001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212002243001 is a deficient number, since it is larger than the sum of its proper divisors (66986632518183).

100212002243001 is a wasteful number, since it uses less digits than its factorization.

100212002243001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59543673381 (or 59543673378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100212002243001 its reverse (100342200212001), we get a palindrome (200554202455002).

The spelling of 100212002243001 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred forty-three thousand, one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 59543673347 178631020041 535893060123 654980406817 1012242446899 1964941220451 3036727340697 5894823661353 9110182022091 11134666915889 33404000747667 100212002243001