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211301313301 = 1323001416629
BaseRepresentation
bin1100010011001010001…
…0100010101100010101
3202012101221200212212201
43010302202202230111
511430221114011201
6241023120244501
721160146346201
oct3046242425425
9665357625781
10211301313301
11816810a0151
1234b50470731
1316c057b4300
14a326dc7b01
15576a6d1801
hex31328a2b15

211301313301 has 12 divisors (see below), whose sum is σ = 228882356580. Its totient is φ = 194981904000.

The previous prime is 211301313299. The next prime is 211301313343. The reversal of 211301313301 is 103313103112.

It can be written as a sum of positive squares in 6 ways, for example, as 77645265201 + 133656048100 = 278649^2 + 365590^2 .

It is not a de Polignac number, because 211301313301 - 21 = 211301313299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301313701) 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, 298855 + ... + 715483.

It is an arithmetic number, because the mean of its divisors is an integer number (19073529715).

Almost surely, 2211301313301 is an apocalyptic number.

It is an amenable number.

211301313301 is a deficient number, since it is larger than the sum of its proper divisors (17581043279).

211301313301 is a wasteful number, since it uses less digits than its factorization.

211301313301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419656 (or 419643 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 211301313301 its reverse (103313103112), we get a palindrome (314614416413).

The spelling of 211301313301 in words is "two hundred eleven billion, three hundred one million, three hundred thirteen thousand, three hundred one".

Divisors: 1 13 169 3001 39013 416629 507169 5416177 70410301 1250303629 16253947177 211301313301