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2232014411341 = 1113177954721247
BaseRepresentation
bin100000011110101110011…
…011010001011001001101
321220101012220220010201001
4200132232123101121031
5243032131142130331
64425212343020301
7320154253314211
oct40365633213115
97811186803631
102232014411341
11790656a46080
123006b513a691
1313262a39a3c0
147a05c746941
153d0d6d38561
hex207ae6d164d

2232014411341 has 64 divisors (see below), whose sum is σ = 2816893255680. Its totient is φ = 1737263324160.

The previous prime is 2232014411339. The next prime is 2232014411351. The reversal of 2232014411341 is 1431144102322.

It is a happy number.

2232014411341 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 2232014411341 - 21 = 2232014411339 is a prime.

It is a super-3 number, since 3×22320144113413 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232014411351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105040180 + ... + 105061426.

It is an arithmetic number, because the mean of its divisors is an integer number (44013957120).

Almost surely, 22232014411341 is an apocalyptic number.

It is an amenable number.

2232014411341 is a deficient number, since it is larger than the sum of its proper divisors (584878844339).

2232014411341 is a wasteful number, since it uses less digits than its factorization.

2232014411341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2232014411341 its reverse (1431144102322), we get a palindrome (3663158513663).

The spelling of 2232014411341 in words is "two trillion, two hundred thirty-two billion, fourteen million, four hundred eleven thousand, three hundred forty-one".

Divisors: 1 11 13 17 79 143 187 221 547 869 1027 1343 2431 6017 7111 9299 11297 14773 17459 21247 43213 78221 102289 120887 192049 233717 276211 361199 475343 561769 734621 1329757 1678513 3038321 3973189 4695587 6179459 8080831 9550073 11622109 18463643 21820669 28534721 51651457 105050803 127843199 151087417 197575853 240027359 313881931 370951373 918146611 1661961587 2173334383 2568486089 4080465103 10099612721 11935905943 15608492387 28253346979 131294965373 171693416257 202910401031 2232014411341