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2212058315401 = 1121352092
BaseRepresentation
bin100000001100001000111…
…100110011101010001001
321211110201010222102111121
4200030020330303222021
5242220243412043101
64412112222355241
7315546603305404
oct40141074635211
97743633872447
102212058315401
11783146283900
122b8865a2bb21
13130799b252cc
14790c820cd3b
153c819d910a1
hex20308f33a89

2212058315401 has 9 divisors (see below), whose sum is σ = 2431453982503. Its totient is φ = 2010947231920.

The previous prime is 2212058315387. The next prime is 2212058315429. The reversal of 2212058315401 is 1045138502122.

The square root of 2212058315401 is 1487299.

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

It can be written as a sum of positive squares in only one way, i.e., 699650275401 + 1512408040000 = 836451^2 + 1229800^2 .

It is not a de Polignac number, because 2212058315401 - 227 = 2211924097673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2212058315491) 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 8 ways as a sum of consecutive naturals, for example, 16292685 + ... + 16427893.

Almost surely, 22212058315401 is an apocalyptic number.

2212058315401 is the 1487299-th square number.

2212058315401 is the 743650-th centered octagonal number.

It is an amenable number.

2212058315401 is a deficient number, since it is larger than the sum of its proper divisors (219395667102).

2212058315401 is an frugal number, since it uses more digits than its factorization.

2212058315401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270440 (or 135220 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 2212058315401 in words is "two trillion, two hundred twelve billion, fifty-eight million, three hundred fifteen thousand, four hundred one".

Divisors: 1 11 121 135209 1487299 16360289 18281473681 201096210491 2212058315401