Search a number
-
+
2202010001331 = 372103259356087
BaseRepresentation
bin100000000010110010000…
…001100001111110110011
321210111202212022011221020
4200002302001201332303
5242034204030020311
64403331152230523
7315042601120200
oct40026201417663
97714685264836
102202010001331
1177995a26a808
122b692083b443
1312c85811cc3a
14788138b0ca7
153c42cb3cc06
hex200b2061fb3

2202010001331 has 48 divisors (see below), whose sum is σ = 3449912753664. Its totient is φ = 1245572246016.

The previous prime is 2202010001293. The next prime is 2202010001339. The reversal of 2202010001331 is 1331000102022.

It is not a de Polignac number, because 2202010001331 - 26 = 2202010001267 is a prime.

It is a super-2 number, since 2×22020100013312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2202010001331.

It is not an unprimeable number, because it can be changed into a prime (2202010001339) 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 47 ways as a sum of consecutive naturals, for example, 39232570 + ... + 39288656.

It is an arithmetic number, because the mean of its divisors is an integer number (71873182368).

Almost surely, 22202010001331 is an apocalyptic number.

2202010001331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2202010001331 is a deficient number, since it is larger than the sum of its proper divisors (1247902752333).

2202010001331 is a wasteful number, since it uses less digits than its factorization.

2202010001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58800 (or 58793 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2202010001331 its reverse (1331000102022), we get a palindrome (3533010103353).

The spelling of 2202010001331 in words is "two trillion, two hundred two billion, ten million, one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 49 103 147 309 721 2163 2593 5047 7779 15141 18151 54453 56087 127057 168261 267079 381171 392609 801237 1177827 1869553 2748263 5608659 5776961 8244789 13086871 17330883 39260613 40438727 121316181 145433591 283071089 436300773 849213267 1018035137 3054105411 7126245959 14979659873 21378737877 44938979619 104857619111 314572857333 734003333777 2202010001331