Search a number
-
+
2120011092 = 2232577102061
BaseRepresentation
bin111111001011100…
…1100110101010100
312110202011201111100
41332113030311110
513320210323332
6550211110100
7103351540233
oct17627146524
95422151440
102120011092
11998766791
124b1ba2330
1327a2a6344
141617b8b1a
15c61bb67c
hex7e5ccd54

2120011092 has 36 divisors (see below), whose sum is σ = 5368257076. Its totient is φ = 705438720.

The previous prime is 2120011079. The next prime is 2120011097. The reversal of 2120011092 is 2901100212.

It can be written as a sum of positive squares in 2 ways, for example, as 1729395396 + 390615696 = 41586^2 + 19764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120011097) 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, 30259 + ... + 71802.

Almost surely, 22120011092 is an apocalyptic number.

It is an amenable number.

2120011092 is an abundant number, since it is smaller than the sum of its proper divisors (3248245984).

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

2120011092 is a wasteful number, since it uses less digits than its factorization.

2120011092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102648 (or 102643 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2120011092 is about 46043.5781841507. The cubic root of 2120011092 is about 1284.6338981385.

The spelling of 2120011092 in words is "two billion, one hundred twenty million, eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 20772 102061 204122 306183 408244 612366 918549 1224732 1837098 3674196 58889197 117778394 176667591 235556788 353335182 530002773 706670364 1060005546 2120011092