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221404124141 = 192310115433251
BaseRepresentation
bin1100111000110010110…
…1101101001111101101
3210011111000220211221222
43032030231231033231
512111413423433031
6245413414433125
721665413001204
oct3161455551755
9704430824858
10221404124141
11859959464a2
1236aab9627a5
1317b5588a7a5
14aa04a7023b
155b5c5ebe7b
hex338cb6d3ed

221404124141 has 32 divisors (see below), whose sum is σ = 245832468480. Its totient is φ = 198455400000.

The previous prime is 221404124093. The next prime is 221404124143. The reversal of 221404124141 is 141421404122.

It is a cyclic number.

It is not a de Polignac number, because 221404124141 - 26 = 221404124077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221404124141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221404124143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68101766 + ... + 68105016.

It is an arithmetic number, because the mean of its divisors is an integer number (7682264640).

Almost surely, 2221404124141 is an apocalyptic number.

It is an amenable number.

221404124141 is a deficient number, since it is larger than the sum of its proper divisors (24428344339).

221404124141 is a wasteful number, since it uses less digits than its factorization.

221404124141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 221404124141 its reverse (141421404122), we get a palindrome (362825528263).

The spelling of 221404124141 in words is "two hundred twenty-one billion, four hundred four million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 19 23 101 437 1543 1919 2323 3251 29317 35489 44137 61769 74773 155843 328351 674291 1420687 2961017 3584389 5016293 6238669 7552073 68103391 95309567 115374739 143489387 506645593 2192120041 9626266267 11652848639 221404124141