Search a number
-
+
2205123325031 = 11245887397153
BaseRepresentation
bin100000000101101011100…
…101111010110001100111
321210210210211120102011102
4200011223211322301213
5242112043032400111
64405004125430315
7315213003666524
oct40055345726147
97723724512142
102205123325031
117802076a1a00
122b744b40b39b
1312cc33131603
1478a2b17614b
153c56111913b
hex2016b97ac67

2205123325031 has 12 divisors (see below), whose sum is σ = 2423872166016. Its totient is φ = 2004608833920.

The previous prime is 2205123325003. The next prime is 2205123325043. The reversal of 2205123325031 is 1305233215022.

2205123325031 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 2205123325031 - 230 = 2204049583207 is a prime.

It is a super-2 number, since 2×22051233250312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2205123324985 and 2205123325003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205123325091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5353751 + ... + 5750903.

It is an arithmetic number, because the mean of its divisors is an integer number (201989347168).

Almost surely, 22205123325031 is an apocalyptic number.

2205123325031 is a deficient number, since it is larger than the sum of its proper divisors (218748840985).

2205123325031 is a wasteful number, since it uses less digits than its factorization.

2205123325031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443062 (or 443051 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 2205123325031 in words is "two trillion, two hundred five billion, one hundred twenty-three million, three hundred twenty-five thousand, thirty-one".

Divisors: 1 11 121 45887 397153 504757 4368683 5552327 48055513 18224159711 200465756821 2205123325031