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2135113300 = 2252171255949
BaseRepresentation
bin111111101000011…
…0011111001010100
312111210120222211101
41333100303321110
513333042111200
6551510515444
7103624110055
oct17720637124
95453528741
102135113300
119a6241251
124b7065b84
13280463368
141637ca72c
15c76a126a
hex7f433e54

2135113300 has 36 divisors (see below), whose sum is σ = 4905740700. Its totient is φ = 803806720.

The previous prime is 2135113291. The next prime is 2135113303. The reversal of 2135113300 is 33115312.

It can be written as a sum of positive squares in 6 ways, for example, as 1227664 + 2133885636 = 1108^2 + 46194^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135113303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626275 + ... + 629674.

It is an arithmetic number, because the mean of its divisors is an integer number (136270575).

Almost surely, 22135113300 is an apocalyptic number.

2135113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135113300 is an abundant number, since it is smaller than the sum of its proper divisors (2770627400).

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

2135113300 is a wasteful number, since it uses less digits than its factorization.

2135113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255980 (or 1255973 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 2135113300 is about 46207.2862219802. The cubic root of 2135113300 is about 1287.6771088874.

Adding to 2135113300 its reverse (33115312), we get a palindrome (2168228612).

It can be divided in two parts, 213511 and 3300, that added together give a triangular number (216811 = T658).

The spelling of 2135113300 in words is "two billion, one hundred thirty-five million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1255949 2511898 5023796 6279745 12559490 21351133 25118980 31398725 42702266 62797450 85404532 106755665 125594900 213511330 427022660 533778325 1067556650 2135113300