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114012222505533 = 321123731021274909
BaseRepresentation
bin11001111011000110001010…
…000001011100001000111101
3112221200110110211001002121100
4121323012022001130020331
5104420434012430134113
61042252254132323313
733005053105226622
oct3173061201341075
9487613424032540
10114012222505533
1133367348348100
12109543ba773539
134b803ca368691
14202231465c349
15d2aabd740d73
hex67b18a05c23d

114012222505533 has 72 divisors (see below), whose sum is σ = 181680379800920. Its totient is φ = 68845320403200.

The previous prime is 114012222505483. The next prime is 114012222505583. The reversal of 114012222505533 is 335505222210411.

114012222505533 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 122 + 22 + 505 + 5 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (114012222505483) and next prime (114012222505583).

It can be written as a sum of positive squares in 4 ways, for example, as 18220237379289 + 95791985126244 = 4268517^2 + 9787338^2 .

It is not a de Polignac number, because 114012222505533 - 217 = 114012222374461 is a prime.

It is a super-2 number, since 2×1140122225055332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012222505583) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414589683 + ... + 414864591.

Almost surely, 2114012222505533 is an apocalyptic number.

It is an amenable number.

114012222505533 is a deficient number, since it is larger than the sum of its proper divisors (67668157295387).

114012222505533 is a wasteful number, since it uses less digits than its factorization.

114012222505533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276331 (or 276317 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 114012222505533 its reverse (335505222210411), we get a palindrome (449517444715944).

The spelling of 114012222505533 in words is "one hundred fourteen trillion, twelve billion, two hundred twenty-two million, five hundred five thousand, five hundred thirty-three".

Divisors: 1 3 9 11 33 99 121 363 373 1021 1089 1119 3063 3357 4103 9189 11231 12309 33693 36927 45133 101079 123541 135399 274909 370623 380833 406197 824727 1111869 1142499 2474181 3023999 3427497 4189163 9071997 12567489 27215991 33263989 37702467 46080793 99791967 102541057 138242379 280682089 299375901 307623171 414727137 842046267 922869513 1127951627 2526138801 3087502979 3383854881 9262508937 10151564643 12407467897 27787526811 33962532769 37222403691 101887598307 104694419197 111667211073 305662794921 314083257591 942249772773 1151638611167 3454915833501 10364747500503 12668024722837 38004074168511 114012222505533