Search a number
-
+
2198131107381 = 321122203344519
BaseRepresentation
bin11111111111001010110…
…100101110011000110101
321210010202112110221202100
4133333022310232120311
5242003233030414011
64401450230132313
7314544511062366
oct37771264563065
97703675427670
102198131107381
11778249783330
122b60197b1099
1312c38a621a11
1478566683b6d
153c2a233ad56
hex1ffcad2e635

2198131107381 has 12 divisors (see below), whose sum is σ = 3463721745120. Its totient is φ = 1332200671080.

The previous prime is 2198131107299. The next prime is 2198131107383. The reversal of 2198131107381 is 1837011318912.

2198131107381 is a `hidden beast` number, since 2 + 198 + 1 + 311 + 0 + 73 + 81 = 666.

It is not a de Polignac number, because 2198131107381 - 27 = 2198131107253 is a prime.

It is a super-2 number, since 2×21981311073812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198131107383) 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, 11101672161 + ... + 11101672358.

It is an arithmetic number, because the mean of its divisors is an integer number (288643478760).

Almost surely, 22198131107381 is an apocalyptic number.

It is an amenable number.

2198131107381 is a deficient number, since it is larger than the sum of its proper divisors (1265590637739).

2198131107381 is a wasteful number, since it uses less digits than its factorization.

2198131107381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22203344536 (or 22203344533 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 2198131107381 in words is "two trillion, one hundred ninety-eight billion, one hundred thirty-one million, one hundred seven thousand, three hundred eighty-one".

Divisors: 1 3 9 11 33 99 22203344519 66610033557 199830100671 244236789709 732710369127 2198131107381