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311311220201 = 47137121739727
BaseRepresentation
bin1001000011110111001…
…10000011110111101001
31002202112210222112211122
410201323212003313221
520100031133021301
6355003035505025
731330403465612
oct4417346036751
91082483875748
10311311220201
11110032082473
12504015b8175
1323483382107
14110d34a6c09
15817072681b
hex487b983de9

311311220201 has 16 divisors (see below), whose sum is σ = 320526775296. Its totient is φ = 302207440896.

The previous prime is 311311220153. The next prime is 311311220221. The reversal of 311311220201 is 102022113113.

It is a cyclic number.

It is not a de Polignac number, because 311311220201 - 26 = 311311220137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311311220201.

It is not an unprimeable number, because it can be changed into a prime (311311220221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7816400 + ... + 7856126.

It is an arithmetic number, because the mean of its divisors is an integer number (20032923456).

Almost surely, 2311311220201 is an apocalyptic number.

It is an amenable number.

311311220201 is a deficient number, since it is larger than the sum of its proper divisors (9215555095).

311311220201 is a wasteful number, since it uses less digits than its factorization.

311311220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41128.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 311311220201 its reverse (102022113113), we get a palindrome (413333333314).

It can be divided in two parts, 3113112 and 20201, that added together give a palindrome (3133313).

The spelling of 311311220201 in words is "three hundred eleven billion, three hundred eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 47 137 1217 6439 39727 57199 166729 1867169 5442599 7836263 48347759 255802153 2272344673 6623642983 311311220201