[go: up one dir, main page]

Search a number
-
+
2031124431 = 37222960337
BaseRepresentation
bin111100100010000…
…0111111111001111
312020112220210220210
41321010013333033
513124431440211
6533314013503
7101222162400
oct17104077717
95215823823
102031124431
11952575936
12488277293
13264a5409b
14153a7b9a7
15bd4ae9a6
hex79107fcf

2031124431 has 24 divisors (see below), whose sum is σ = 3164124720. Its totient is φ = 1155555072.

The previous prime is 2031124429. The next prime is 2031124439. The reversal of 2031124431 is 1344211302.

It is not a de Polignac number, because 2031124431 - 21 = 2031124429 is a prime.

It is a super-2 number, since 2×20311244312 = 8250932908410147522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2031124398 and 2031124407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031124439) 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 23 ways as a sum of consecutive naturals, for example, 3495 + ... + 63831.

It is an arithmetic number, because the mean of its divisors is an integer number (131838530).

Almost surely, 22031124431 is an apocalyptic number.

2031124431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2031124431 is a deficient number, since it is larger than the sum of its proper divisors (1133000289).

2031124431 is a wasteful number, since it uses less digits than its factorization.

2031124431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60583 (or 60576 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2031124431 is about 45067.9978587911. The cubic root of 2031124431 is about 1266.4231575373.

Adding to 2031124431 its reverse (1344211302), we get a palindrome (3375335733).

The spelling of 2031124431 in words is "two billion, thirty-one million, one hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 229 687 1603 4809 11221 33663 60337 181011 422359 1267077 2956513 8869539 13817173 41451519 96720211 290160633 677041477 2031124431