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11553230153241 = 337212289710603
BaseRepresentation
bin1010100000011111001000…
…1011011110011000011001
31111220110220110210100102000
42220013302023132120121
53003242003404400431
640323251453431213
72301456545663100
oct250076213363031
944813813710360
1011553230153241
113754774258397
12136711549b509
1365a6075aa00a
142bd2720c3037
151507d55399e6
hexa81f22de619

11553230153241 has 48 divisors (see below), whose sum is σ = 19911976804800. Its totient is φ = 6601299296256.

The previous prime is 11553230153161. The next prime is 11553230153249. The reversal of 11553230153241 is 14235103235511.

It is a happy number.

11553230153241 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 323 + 0 + 1 + 5 + 324 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11553230153241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11553230153196 and 11553230153205.

It is not an unprimeable number, because it can be changed into a prime (11553230153249) 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, 15903046 + ... + 16613648.

It is an arithmetic number, because the mean of its divisors is an integer number (414832850100).

Almost surely, 211553230153241 is an apocalyptic number.

It is an amenable number.

11553230153241 is a deficient number, since it is larger than the sum of its proper divisors (8358746651559).

11553230153241 is a wasteful number, since it uses less digits than its factorization.

11553230153241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722915 (or 722902 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 11553230153241 its reverse (14235103235511), we get a palindrome (25788333388752).

The spelling of 11553230153241 in words is "eleven trillion, five hundred fifty-three billion, two hundred thirty million, one hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 12289 36867 86023 110601 258069 331803 602161 710603 774207 1806483 2131809 2322621 4974221 5419449 6395427 14922663 16258347 19186281 34819547 44767989 104458641 134303967 313375923 940127769 8732600267 26197800801 61128201869 78593402403 183384605607 235780207209 427897413083 550153816821 1283692239249 1650461450463 3851076717747 11553230153241