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1221311014341 = 311172373461089
BaseRepresentation
bin10001110001011011110…
…011110010010111000101
311022202102021010210210220
4101301123303302113011
5130002221104424331
62333021301334553
7154144140223125
oct21613363622705
94282367123726
101221311014341
11430a56256640
12178846707459
138b227785a72
144317c99ac85
1521b80ac0296
hex11c5bcf25c5

1221311014341 has 48 divisors (see below), whose sum is σ = 1938099645120. Its totient is φ = 677819473920.

The previous prime is 1221311014327. The next prime is 1221311014381. The reversal of 1221311014341 is 1434101131221.

It is not a de Polignac number, because 1221311014341 - 27 = 1221311014213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221311014381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377676 + ... + 2083413.

It is an arithmetic number, because the mean of its divisors is an integer number (40377075940).

Almost surely, 21221311014341 is an apocalyptic number.

1221311014341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221311014341 is a deficient number, since it is larger than the sum of its proper divisors (716788630779).

1221311014341 is a wasteful number, since it uses less digits than its factorization.

1221311014341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461174 (or 3461157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1221311014341 its reverse (1434101131221), we get a palindrome (2655412145562).

The spelling of 1221311014341 in words is "one trillion, two hundred twenty-one billion, three hundred eleven million, fourteen thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 37 51 111 187 289 407 561 629 867 1221 1887 3179 6919 9537 10693 20757 32079 117623 352869 3461089 10383267 38071979 58838513 114215937 128060293 176515539 384180879 647223643 1000254721 1408663223 1941670929 2177024981 3000764163 4225989669 6531074943 11002801931 23947274791 33008405793 37009424677 71841824373 111028274031 407103671447 1221311014341