[go: up one dir, main page]

Search a number
-
+
2100045330 = 2325127313587
BaseRepresentation
bin111110100101100…
…0010011000010010
312102100121100121200
41331023002120102
513300102422310
6544215132030
7103020043065
oct17513023022
95370540550
102100045330
1198846a159
124a7374016
13276105696
1415cc9c8dc
15c45759c0
hex7d2c2612

2100045330 has 96 divisors (see below), whose sum is σ = 5530097664. Its totient is φ = 552883968.

The previous prime is 2100045323. The next prime is 2100045331. The reversal of 2100045330 is 335400012.

2100045330 is a `hidden beast` number, since 210 + 0 + 0 + 453 + 3 + 0 = 666.

2100045330 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100045331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3577297 + ... + 3577883.

It is an arithmetic number, because the mean of its divisors is an integer number (57605184).

Almost surely, 22100045330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100045330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765048832).

2100045330 is an abundant number, since it is smaller than the sum of its proper divisors (3430052334).

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

2100045330 is a wasteful number, since it uses less digits than its factorization.

2100045330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2100045330 is about 45826.2515377376. The cubic root of 2100045330 is about 1280.5883789932.

Adding to 2100045330 its reverse (335400012), we get a palindrome (2435445342).

The spelling of 2100045330 in words is "two billion, one hundred million, forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 313 381 587 626 635 762 939 1143 1174 1270 1565 1761 1878 1905 2286 2817 2935 3130 3522 3810 4695 5283 5634 5715 5870 8805 9390 10566 11430 14085 17610 26415 28170 39751 52830 74549 79502 119253 149098 183731 198755 223647 238506 357759 367462 372745 397510 447294 551193 596265 670941 715518 745490 918655 1102386 1118235 1192530 1341882 1653579 1788795 1837310 2236470 2755965 3307158 3354705 3577590 5511930 6709410 8267895 16535790 23333837 46667674 70001511 116669185 140003022 210004533 233338370 350007555 420009066 700015110 1050022665 2100045330