Search a number
-
+
2033131030 = 257273113503
BaseRepresentation
bin111100100101111…
…0001111000010110
312020200200202110021
41321023301320112
513130440143110
6533425015354
7101245220500
oct17113617026
95220622407
102033131030
11953716487
12488a8455a
132652a7518
14154040d70
15bd7592da
hex792f1e16

2033131030 has 96 divisors (see below), whose sum is σ = 4362289344. Its totient is φ = 680085504.

The previous prime is 2033131021. The next prime is 2033131033. The reversal of 2033131030 is 301313302.

It is a junction number, because it is equal to n+sod(n) for n = 2033130995 and 2033131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041759 + ... + 4042261.

It is an arithmetic number, because the mean of its divisors is an integer number (45440514).

Almost surely, 22033131030 is an apocalyptic number.

2033131030 is an abundant number, since it is smaller than the sum of its proper divisors (2329158314).

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

2033131030 is a wasteful number, since it uses less digits than its factorization.

2033131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2033131030 is about 45090.2542685224. The cubic root of 2033131030 is about 1266.8400640583.

Adding to 2033131030 its reverse (301313302), we get a palindrome (2334444332).

The spelling of 2033131030 in words is "two billion, thirty-three million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 113 146 226 245 365 490 503 511 565 730 791 1006 1022 1130 1582 2515 2555 3521 3577 3955 5030 5110 5537 7042 7154 7910 8249 11074 16498 17605 17885 24647 27685 35210 35770 36719 41245 49294 55370 56839 57743 73438 82490 113678 115486 123235 183595 246470 257033 284195 288715 367190 397873 404201 514066 568390 577430 795746 808402 1285165 1799231 1989365 2021005 2570330 2785111 3598462 3978730 4042010 4149247 5570222 8298494 8996155 13925555 17992310 20746235 27851110 29044729 41492470 58089458 145223645 203313103 290447290 406626206 1016565515 2033131030