Search a number
-
+
2040097131 = 33197383549
BaseRepresentation
bin111100110011001…
…0110100101101011
312021011210200011000
41321212112211223
513134231102011
6534234210043
7101361353022
oct17146264553
95234720130
102040097131
11957644196
1248b283923
13266876187
14154d358b9
15be183356
hex7999696b

2040097131 has 16 divisors (see below), whose sum is σ = 3037716000. Its totient is φ = 1353157344.

The previous prime is 2040097021. The next prime is 2040097183. The reversal of 2040097131 is 1317900402.

It is not a de Polignac number, because 2040097131 - 221 = 2037999979 is a prime.

It is a super-2 number, since 2×20400971312 = 8323992607828862322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2040097095 and 2040097104.

It is not an unprimeable number, because it can be changed into a prime (2040097531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186456 + ... + 197093.

It is an arithmetic number, because the mean of its divisors is an integer number (189857250).

Almost surely, 22040097131 is an apocalyptic number.

2040097131 is a deficient number, since it is larger than the sum of its proper divisors (997618869).

2040097131 is a wasteful number, since it uses less digits than its factorization.

2040097131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383755 (or 383749 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2040097131 is about 45167.4344079891. The cubic root of 2040097131 is about 1268.2852694931.

Adding to 2040097131 its reverse (1317900402), we get a palindrome (3357997533).

The spelling of 2040097131 in words is "two billion, forty million, ninety-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 27 197 591 1773 5319 383549 1150647 3451941 10355823 75559153 226677459 680032377 2040097131