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22314231303331 = 1129421166153369
BaseRepresentation
bin1010001001011011011111…
…10101001000110010100011
32221000012221010221111110111
411010231233311020302203
510411044021203201311
6115243003310312151
74462102311362512
oct504555765106243
987005833844414
1022314231303331
117123459926a30
122604792ab8657
13c5b2b8b80146
1457202bd36679
1528a69eae4d21
hex144b6fd48ca3

22314231303331 has 16 divisors (see below), whose sum is σ = 25242019970400. Its totient is φ = 19539636076800.

The previous prime is 22314231303289. The next prime is 22314231303379. The reversal of 22314231303331 is 13330313241322.

It is a cyclic number.

It is not a de Polignac number, because 22314231303331 - 215 = 22314231270563 is a prime.

It is a super-3 number, since 3×223142313033313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22314231303293 and 22314231303302.

It is not an unprimeable number, because it can be changed into a prime (22314231303431) 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 15 ways as a sum of consecutive naturals, for example, 82942386 + ... + 83210983.

It is an arithmetic number, because the mean of its divisors is an integer number (1577626248150).

Almost surely, 222314231303331 is an apocalyptic number.

22314231303331 is a deficient number, since it is larger than the sum of its proper divisors (2927788667069).

22314231303331 is a wasteful number, since it uses less digits than its factorization.

22314231303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166153830.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 22314231303331 its reverse (13330313241322), we get a palindrome (35644544544653).

The spelling of 22314231303331 in words is "twenty-two trillion, three hundred fourteen billion, two hundred thirty-one million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 11 29 319 421 4631 12209 134299 166153369 1827687059 4818447701 53002924711 69950568349 769456251839 2028566482121 22314231303331