Search a number
-
+
2100323023119 = 3377789741597
BaseRepresentation
bin11110100100000101000…
…000011111100100001111
321102210022010022110122000
4132210011000133210033
5233402430143214434
64244513003323343
7304512651062646
oct36440500374417
97383263273560
102100323023119
1173a818655a42
1229b081b20553
131230a0c73049
147392879835d
153997a772b99
hex1e90501f90f

2100323023119 has 8 divisors (see below), whose sum is σ = 3111589663920. Its totient is φ = 1400215348728.

The previous prime is 2100323023079. The next prime is 2100323023121. The reversal of 2100323023119 is 9113203230012.

2100323023119 is a `hidden beast` number, since 2 + 10 + 0 + 32 + 302 + 311 + 9 = 666.

It is not a de Polignac number, because 2100323023119 - 236 = 2031603546383 is a prime.

It is a super-2 number, since 2×21003230231192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 77789741597 = 2100323023119 / (2 + 1 + 0 + 0 + 3 + 2 + 3 + 0 + 2 + 3 + 1 + 1 + 9).

It is a junction number, because it is equal to n+sod(n) for n = 2100323023092 and 2100323023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100323023619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38894870772 + ... + 38894870825.

It is an arithmetic number, because the mean of its divisors is an integer number (388948707990).

Almost surely, 22100323023119 is an apocalyptic number.

2100323023119 is a deficient number, since it is larger than the sum of its proper divisors (1011266640801).

2100323023119 is an equidigital number, since it uses as much as digits as its factorization.

2100323023119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77789741606 (or 77789741600 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 2100323023119 in words is "two trillion, one hundred billion, three hundred twenty-three million, twenty-three thousand, one hundred nineteen".

Divisors: 1 3 9 27 77789741597 233369224791 700107674373 2100323023119