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22303134304431 = 32313915729575009
BaseRepresentation
bin1010001001000110110100…
…11001011100100010101111
32220222011021202222112202020
411010203122121130202233
510410403304340220211
6115233530215201223
74461230313424161
oct504433231344257
986864252875666
1022303134304431
117119784967462
1226025b6676213
13c5a23ab22cc6
14571698216931
1528a250795306
hex1448da65c8af

22303134304431 has 64 divisors (see below), whose sum is σ = 31469674521600. Its totient is φ = 14022489102336.

The previous prime is 22303134304301. The next prime is 22303134304433. The reversal of 22303134304431 is 13440343130322.

It is a happy number.

It is not a de Polignac number, because 22303134304431 - 222 = 22303130110127 is a prime.

It is a super-2 number, since 2×223031343044312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22303134304392 and 22303134304401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22303134304433) 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, 4452609655 + ... + 4452614663.

It is an arithmetic number, because the mean of its divisors is an integer number (491713664400).

Almost surely, 222303134304431 is an apocalyptic number.

22303134304431 is a deficient number, since it is larger than the sum of its proper divisors (9166540217169).

22303134304431 is a wasteful number, since it uses less digits than its factorization.

22303134304431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 22303134304431 its reverse (13440343130322), we get a palindrome (35743477434753).

The spelling of 22303134304431 in words is "twenty-two trillion, three hundred three billion, one hundred thirty-four million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 3 23 69 139 157 417 471 2957 3197 3611 5009 8871 9591 10833 15027 21823 65469 68011 115207 204033 345621 411023 464249 501929 696251 786413 1233069 1392747 1505787 2088753 2359239 9453529 10677727 14811613 16013773 18087499 28360587 32033181 44434839 48041319 54262497 64530611 109311407 193591833 327934221 340667099 1022001297 1484204053 2058814207 2325423241 2514162361 4452612159 6176442621 6976269723 7542487083 47352726761 53484734543 142058180283 160454203629 323233830499 969701491497 7434378101477 22303134304431