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142232220441311 = 71113712001269441
BaseRepresentation
bin100000010101110000000100…
…111110011001101011011111
3200122121021012222211002021212
4200111300010332121223133
5122120313041413110221
61222300325142015035
741646640005003620
oct4025600476315337
9618537188732255
10142232220441311
11413573894a8720
1213b51682a1747b
136149596696910
14271a10d145a47
151169bbe470b5b
hex815c04f99adf

142232220441311 has 32 divisors (see below), whose sum is σ = 193658841363456. Its totient is φ = 100863979776000.

The previous prime is 142232220441307. The next prime is 142232220441329. The reversal of 142232220441311 is 113144022232241.

142232220441311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142232220441311 - 22 = 142232220441307 is a prime.

It is a super-3 number, since 3×1422322204413113 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142232220441331) 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, 1000563650 + ... + 1000705791.

It is an arithmetic number, because the mean of its divisors is an integer number (6051838792608).

Almost surely, 2142232220441311 is an apocalyptic number.

142232220441311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142232220441311 is a deficient number, since it is larger than the sum of its proper divisors (51426620922145).

142232220441311 is a wasteful number, since it uses less digits than its factorization.

142232220441311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001269543.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 142232220441311 its reverse (113144022232241), we get a palindrome (255376242673552).

The spelling of 142232220441311 in words is "one hundred forty-two trillion, two hundred thirty-two billion, two hundred twenty million, four hundred forty-one thousand, three hundred eleven".

Divisors: 1 7 11 13 71 77 91 143 497 781 923 1001 5467 6461 10153 71071 2001269441 14008886087 22013963851 26016502733 142090130311 154097746957 182115519131 286181530063 994630912177 1562991433421 1847171694043 2003270710441 10940940033947 12930201858301 20318888634473 142232220441311