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2120510401 = 460492
BaseRepresentation
bin111111001100100…
…0110101111000001
312110210010002102021
41332121012233001
513320322313101
6550225521441
7103356020032
oct17631065701
95423102367
102120510401
11998a77939
124b21a3281
1327a41c6a9
141618a8a89
15c62695a1
hex7e646bc1

2120510401 has 3 divisors (see below), whose sum is σ = 2120556451. Its totient is φ = 2120464352.

The previous prime is 2120510383. The next prime is 2120510437. The reversal of 2120510401 is 1040150212.

The square root of 2120510401 is 46049.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 26532801 + 2093977600 = 5151^2 + 45760^2 .

It is not a de Polignac number, because 2120510401 - 221 = 2118413249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120510801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23025 + ... + 69073.

Almost surely, 22120510401 is an apocalyptic number.

2120510401 is the 46049-th square number.

2120510401 is the 23025-th centered octagonal number.

It is an amenable number.

2120510401 is a deficient number, since it is larger than the sum of its proper divisors (46050).

2120510401 is an frugal number, since it uses more digits than its factorization.

2120510401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92098 (or 46049 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The cubic root of 2120510401 is about 1284.7347433525.

Multiplying 2120510401 by its sum of digits (16), we get a square (33928166416 = 1841962).

Adding to 2120510401 its reverse (1040150212), we get a palindrome (3160660613).

The spelling of 2120510401 in words is "two billion, one hundred twenty million, five hundred ten thousand, four hundred one".

Divisors: 1 46049 2120510401