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12354130065953 = 132434313944389
BaseRepresentation
bin1011001111000110101110…
…0010001011101000100001
31121202001011120021101120002
42303301223202023220201
53104402224244102303
642135224202225345
72413361600631254
oct263615342135041
947661146241502
1012354130065953
113a333a23948a5
1214763911b5255
136b7cb2b1c400
14309d2bb8109b
1516655c83c788
hexb3c6b88ba21

12354130065953 has 24 divisors (see below), whose sum is σ = 13720418616960. Its totient is φ = 11112760975680.

The previous prime is 12354130065943. The next prime is 12354130065961. The reversal of 12354130065953 is 35956003145321.

It is not a de Polignac number, because 12354130065953 - 26 = 12354130065889 is a prime.

It is a super-2 number, since 2×123541300659532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12354130065898 and 12354130065907.

It is not an unprimeable number, because it can be changed into a prime (12354130065943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1159883 + ... + 5104271.

It is an arithmetic number, because the mean of its divisors is an integer number (571684109040).

Almost surely, 212354130065953 is an apocalyptic number.

12354130065953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12354130065953 is a deficient number, since it is larger than the sum of its proper divisors (1366288551007).

12354130065953 is a wasteful number, since it uses less digits than its factorization.

12354130065953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944889 (or 3944876 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 47.

The spelling of 12354130065953 in words is "twelve trillion, three hundred fifty-four billion, one hundred thirty million, sixty-five thousand, nine hundred fifty-three".

Divisors: 1 13 43 169 431 559 5603 7267 18533 72839 240929 3132077 3944389 51277057 169608727 666601741 1700031659 2204913451 22100411567 28663874863 73101361337 287305350371 950317697381 12354130065953