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103895081001 = 3417409118443
BaseRepresentation
bin110000011000010100…
…0010010000000101001
3100221011121220221220000
41200300220102000221
53200234120043001
6115421224053213
710335421421535
oct1406050220051
9327147827800
10103895081001
1140075079108
1218176304209
139a497876ba
1450584a2bc5
152a81187a86
hex1830a12029

103895081001 has 40 divisors (see below), whose sum is σ = 164379862944. Its totient is φ = 65169601920.

The previous prime is 103895080909. The next prime is 103895081011. The reversal of 103895081001 is 100180598301.

103895081001 is a `hidden beast` number, since 10 + 38 + 9 + 508 + 100 + 1 = 666.

It is not a de Polignac number, because 103895081001 - 211 = 103895078953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103895081011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5624086 + ... + 5642528.

Almost surely, 2103895081001 is an apocalyptic number.

It is an amenable number.

103895081001 is a deficient number, since it is larger than the sum of its proper divisors (60484781943).

103895081001 is a wasteful number, since it uses less digits than its factorization.

103895081001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22563 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 103895081001 in words is "one hundred three billion, eight hundred ninety-five million, eighty-one thousand, one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 4091 12273 18443 36819 55329 69547 110457 165987 208641 313531 331371 497961 625923 940593 1493883 1877769 2821779 5633307 8465337 25396011 75450313 226350939 679052817 1282655321 2037158451 3847965963 6111475353 11543897889 34631693667 103895081001