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311011001311 = 17191319917417
BaseRepresentation
bin1001000011010011011…
…00110100001111011111
31002201202220001211221111
410201221230310033133
520043422304020221
6354513153042451
731320066615103
oct4415154641737
91081686054844
10311011001311
1110a99866958a
1250338b56427
13234361087ba
14110a5677903
1581541c2be1
hex4869b343df

311011001311 has 32 divisors (see below), whose sum is σ = 349683333120. Its totient is φ = 274878489600.

The previous prime is 311011001299. The next prime is 311011001333. The reversal of 311011001311 is 113100110113.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311011001311 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311011001291 and 311011001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311011301311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41928475 + ... + 41935891.

It is an arithmetic number, because the mean of its divisors is an integer number (10927604160).

Almost surely, 2311011001311 is an apocalyptic number.

311011001311 is a deficient number, since it is larger than the sum of its proper divisors (38672331809).

311011001311 is a wasteful number, since it uses less digits than its factorization.

311011001311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 311011001311 its reverse (113100110113), we get a palindrome (424111111424).

The spelling of 311011001311 in words is "three hundred eleven billion, eleven million, one thousand, three hundred eleven".

Divisors: 1 17 19 131 323 991 2227 2489 7417 16847 18829 42313 126089 129821 140923 320093 971627 2206957 2395691 2466599 7350247 16517659 18460913 41932183 124954199 139654693 313835521 962882357 2374129781 16369000069 18294764783 311011001311