Search a number
-
+
1212055650 = 234521323021
BaseRepresentation
bin100100000111110…
…1000000001100010
310010110200210210000
41020033220001202
54440241240100
6320134320430
742015205641
oct11017500142
93113623700
101212055650
115721a0393
12299ab9116
131641558c0
14b6d8b358
157161c900
hex483e8062

1212055650 has 120 divisors (see below), whose sum is σ = 3626931924. Its totient is φ = 298339200.

The previous prime is 1212055591. The next prime is 1212055673. The reversal of 1212055650 is 565502121.

1212055650 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 5 + 5 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67519089 + 1144536561 = 8217^2 + 33831^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41140 + ... + 64160.

Almost surely, 21212055650 is an apocalyptic number.

1212055650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212055650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813465962).

1212055650 is an abundant number, since it is smaller than the sum of its proper divisors (2414876274).

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

1212055650 is a wasteful number, since it uses less digits than its factorization.

1212055650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23058 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1212055650 is about 34814.5896141259. The cubic root of 1212055650 is about 1066.2053403302.

Adding to 1212055650 its reverse (565502121), we get a palindrome (1777557771).

The spelling of 1212055650 in words is "one billion, two hundred twelve million, fifty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 325 351 390 405 450 585 650 675 702 810 975 1053 1170 1350 1755 1950 2025 2106 2925 3510 4050 5265 5850 8775 10530 17550 23021 26325 46042 52650 69063 115105 138126 207189 230210 299273 345315 414378 575525 598546 621567 690630 897819 1035945 1151050 1243134 1496365 1726575 1795638 1864701 2071890 2693457 2992730 3107835 3453150 3729402 4489095 5179725 5386914 6215670 7481825 8080371 8978190 9323505 10359450 13467285 14963650 15539175 16160742 18647010 22445475 24241113 26934570 31078350 40401855 44890950 46617525 48482226 67336425 80803710 93235050 121205565 134672850 202009275 242411130 404018550 606027825 1212055650