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103857533801 = 7293748728393
BaseRepresentation
bin110000010111001100…
…1000011001101101001
3100221002000021100210222
41200232121003031221
53200200012040201
6115413403215425
710334454320510
oct1405631031551
9327060240728
10103857533801
114005596336a
1218165817575
139a41a6c418
1450534cb677
152a7cc1c91b
hex182e643369

103857533801 has 32 divisors (see below), whose sum is σ = 126369200640. Its totient is φ = 83453400576.

The previous prime is 103857533783. The next prime is 103857533807. The reversal of 103857533801 is 108335758301.

It is not a de Polignac number, because 103857533801 - 26 = 103857533737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103857533807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3643661 + ... + 3672053.

It is an arithmetic number, because the mean of its divisors is an integer number (3949037520).

Almost surely, 2103857533801 is an apocalyptic number.

It is an amenable number.

103857533801 is a deficient number, since it is larger than the sum of its proper divisors (22511666839).

103857533801 is a wasteful number, since it uses less digits than its factorization.

103857533801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28953.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 103857533801 in words is "one hundred three billion, eight hundred fifty-seven million, five hundred thirty-three thousand, eight hundred one".

Divisors: 1 7 29 37 203 259 487 1073 3409 7511 14123 18019 28393 98861 126133 198751 522551 823397 1050541 3657857 5763779 7353787 13827391 30465689 96791737 213259823 400994339 511613467 2806960373 3581294269 14836790543 103857533801