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31001222022113 = 7411911992841911
BaseRepresentation
bin1110000110010000010001…
…10100111000001111100001
311001202200120110120100011102
413003020020310320033201
513030411000314201423
6145533433105524145
76346523116224020
oct703101064701741
9131680513510142
1031001222022113
1199725a96a4282
1235882b2643655
13143b53093cba5
14792677c168b7
1538b62d97ac28
hex1c3208d383e1

31001222022113 has 32 divisors (see below), whose sum is σ = 36667485388800. Its totient is φ = 25659037008000.

The previous prime is 31001222022109. The next prime is 31001222022143. The reversal of 31001222022113 is 31122022210013.

It is a cyclic number.

It is not a de Polignac number, because 31001222022113 - 22 = 31001222022109 is a prime.

It is a super-2 number, since 2×310012220221132 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31001222022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9487628 + ... + 12329538.

It is an arithmetic number, because the mean of its divisors is an integer number (1145858918400).

Almost surely, 231001222022113 is an apocalyptic number.

It is an amenable number.

31001222022113 is a deficient number, since it is larger than the sum of its proper divisors (5666263366687).

31001222022113 is a wasteful number, since it uses less digits than its factorization.

31001222022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842349.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31001222022113 its reverse (31122022210013), we get a palindrome (62123244232126).

The spelling of 31001222022113 in words is "thirty-one trillion, one billion, two hundred twenty-two million, twenty-two thousand, one hundred thirteen".

Divisors: 1 7 41 191 199 287 1337 1393 7831 8159 38009 54817 57113 266063 1558369 2841911 10908583 19893377 116518351 542805001 565540289 815628457 3799635007 3958782023 22255005041 23187151849 108018195199 155785035287 162310062943 756127366393 4428746003159 31001222022113