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2042231131 = 17199076971
BaseRepresentation
bin111100110111001…
…1111100101011011
312021022211002110001
41321232133211123
513140302344011
6534352033431
7101415451423
oct17156374533
95238732401
102042231131
11958871526
1248bb32877
132671425b5
1415532d483
15be4557c1
hex79b9f95b

2042231131 has 16 divisors (see below), whose sum is σ = 2279007360. Its totient is φ = 1818668160.

The previous prime is 2042231083. The next prime is 2042231141. The reversal of 2042231131 is 1311322402.

It is a happy number.

It is not a de Polignac number, because 2042231131 - 27 = 2042231003 is a prime.

It is a super-2 number, since 2×20422311312 = 8341415984851078322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042231099 and 2042231108.

It is not an unprimeable number, because it can be changed into a prime (2042231141) 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, 289476 + ... + 296446.

It is an arithmetic number, because the mean of its divisors is an integer number (142437960).

Almost surely, 22042231131 is an apocalyptic number.

2042231131 is a deficient number, since it is larger than the sum of its proper divisors (236776229).

2042231131 is a wasteful number, since it uses less digits than its factorization.

2042231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2042231131 is about 45191.0514482679. The cubic root of 2042231131 is about 1268.7273362902.

Adding to 2042231131 its reverse (1311322402), we get a palindrome (3353553533).

The spelling of 2042231131 in words is "two billion, forty-two million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 17 19 323 907 6971 15419 17233 118507 132449 292961 2251633 6322697 107485849 120131243 2042231131