Search a number
-
+
2135250150 = 2352111776123
BaseRepresentation
bin111111101000101…
…0101010011100110
312111210211221112220
41333101111103212
513333111001100
6551513453210
7103625220045
oct17721252346
95453757486
102135250150
119a6325050
124b7111206
132804b0737
1416382455c
15c76cbaa0
hex7f4554e6

2135250150 has 96 divisors (see below), whose sum is σ = 6116715648. Its totient is φ = 487180800.

The previous prime is 2135250137. The next prime is 2135250197. The reversal of 2135250150 is 510525312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2135250150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10012 + ... + 66111.

It is an arithmetic number, because the mean of its divisors is an integer number (63715788).

Almost surely, 22135250150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135250150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058357824).

2135250150 is an abundant number, since it is smaller than the sum of its proper divisors (3981465498).

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

2135250150 is a wasteful number, since it uses less digits than its factorization.

2135250150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76166 (or 76161 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2135250150 is about 46208.7670253167. The cubic root of 2135250150 is about 1287.7046195036.

Adding to 2135250150 its reverse (510525312), we get a palindrome (2645775462).

The spelling of 2135250150 in words is "two billion, one hundred thirty-five million, two hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 150 165 170 187 255 275 330 374 425 510 550 561 825 850 935 1122 1275 1650 1870 2550 2805 4675 5610 9350 14025 28050 76123 152246 228369 380615 456738 761230 837353 1141845 1294091 1674706 1903075 2283690 2512059 2588182 3806150 3882273 4186765 5024118 5709225 6470455 7764546 8373530 11418450 12560295 12940910 14235001 19411365 20933825 25120590 28470002 32352275 38822730 41867650 42705003 62801475 64704550 71175005 85410006 97056825 125602950 142350010 194113650 213525015 355875025 427050030 711750050 1067625075 2135250150