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2125312001 = 17971288849
BaseRepresentation
bin111111010101101…
…1011000000000001
312111010011000222022
41332223123000001
513323034441001
6550520451225
7103444565621
oct17653330001
95433130868
102125312001
119a07573aa
124b3919b15
1327b411087
14162398881
15c68b711b
hex7eadb001

2125312001 has 8 divisors (see below), whose sum is σ = 2273531400. Its totient is φ = 1979670528.

The previous prime is 2125311997. The next prime is 2125312061. The reversal of 2125312001 is 1002135212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 602751601 + 1522560400 = 24551^2 + 39020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2125312001 - 22 = 2125311997 is a prime.

It is a super-2 number, since 2×21253120012 = 9033902203189248002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2125312061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642776 + ... + 646073.

It is an arithmetic number, because the mean of its divisors is an integer number (284191425).

Almost surely, 22125312001 is an apocalyptic number.

It is an amenable number.

2125312001 is a deficient number, since it is larger than the sum of its proper divisors (148219399).

2125312001 is a wasteful number, since it uses less digits than its factorization.

2125312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288963.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2125312001 is about 46101.1062882443. The cubic root of 2125312001 is about 1285.7037132246.

Adding to 2125312001 its reverse (1002135212), we get a palindrome (3127447213).

The spelling of 2125312001 in words is "two billion, one hundred twenty-five million, three hundred twelve thousand, one".

Divisors: 1 17 97 1649 1288849 21910433 125018353 2125312001