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10022001311311 = 1131331550116141
BaseRepresentation
bin1001000111010110110111…
…0100111111111001001111
31022111002112111120200002021
42101311231310333321033
52303200024313430221
633152013245311011
72053031351404123
oct221655564777117
938432474520067
1010022001311311
113214341515930
12115a3b7b65467
135790bc349322
142690d3131583
15125a66730041
hex91d6dd3fe4f

10022001311311 has 32 divisors (see below), whose sum is σ = 11322627950592. Its totient is φ = 8788230000000.

The previous prime is 10022001311303. The next prime is 10022001311321. The reversal of 10022001311311 is 11311310022001.

It is a happy number.

It is not a de Polignac number, because 10022001311311 - 23 = 10022001311303 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 (10022001311321) 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, 620895301 + ... + 620911441.

It is an arithmetic number, because the mean of its divisors is an integer number (353832123456).

Almost surely, 210022001311311 is an apocalyptic number.

10022001311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022001311311 is a deficient number, since it is larger than the sum of its proper divisors (1300626639281).

10022001311311 is a wasteful number, since it uses less digits than its factorization.

10022001311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22015.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10022001311311 its reverse (11311310022001), we get a palindrome (21333311333312).

The spelling of 10022001311311 in words is "ten trillion, twenty-two billion, one million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 11 31 331 341 3641 5501 10261 16141 60511 112871 170531 177551 500371 1820831 1875841 5342671 5504081 20029141 56445761 58769381 88791641 165622801 620903371 976708051 1821850811 2752540871 29390033171 30277949581 323290364881 911091028301 10022001311311