[go: up one dir, main page]

Search a number
-
+
2031115020 = 22351114992053
BaseRepresentation
bin111100100010000…
…0101101100001100
312020112220100000020
41321010011230030
513124431140040
6533313502140
7101222123064
oct17104055414
95215810006
102031115020
11952569860
12488271950
13264a4ca0c
14153a783a4
15bd4abcd0
hex79105b0c

2031115020 has 96 divisors (see below), whose sum is σ = 6211296000. Its totient is φ = 491823360.

The previous prime is 2031115007. The next prime is 2031115033. The reversal of 2031115020 is 205111302.

It is an interprime number because it is at equal distance from previous prime (2031115007) and next prime (2031115033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988314 + ... + 990366.

It is an arithmetic number, because the mean of its divisors is an integer number (64701000).

Almost surely, 22031115020 is an apocalyptic number.

2031115020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105648000).

2031115020 is an abundant number, since it is smaller than the sum of its proper divisors (4180180980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2031115020 is a wasteful number, since it uses less digits than its factorization.

2031115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2031115020 is about 45067.8934497720. The cubic root of 2031115020 is about 1266.4212015884.

Adding to 2031115020 its reverse (205111302), we get a palindrome (2236226322).

The spelling of 2031115020 in words is "two billion, thirty-one million, one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1499 2053 2998 4106 4497 5996 6159 7495 8212 8994 10265 12318 14990 16489 17988 20530 22485 22583 24636 29980 30795 32978 41060 44970 45166 49467 61590 65956 67749 82445 89940 90332 98934 112915 123180 135498 164890 197868 225830 247335 270996 329780 338745 451660 494670 677490 989340 1354980 3077447 6154894 9232341 12309788 15387235 18464682 30774470 33851917 36929364 46161705 61548940 67703834 92323410 101555751 135407668 169259585 184646820 203111502 338519170 406223004 507778755 677038340 1015557510 2031115020