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103017451056 = 24313859192191
BaseRepresentation
bin101111111110001010…
…0011000111000110000
3100211220110111201221020
41133330110120320300
53141434431413211
6115154153255440
710304603612622
oct1377424307060
9324813451836
10103017451056
113a764735803
1217b70404580
1399399c4140
144db3acac12
152a2e0c9306
hex17fc518e30

103017451056 has 80 divisors (see below), whose sum is σ = 286934968320. Its totient is φ = 31660611840.

The previous prime is 103017450979. The next prime is 103017451079. The reversal of 103017451056 is 650154710301.

It is a super-2 number, since 2×1030174510562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439921 + ... + 632111.

It is an arithmetic number, because the mean of its divisors is an integer number (3586687104).

Almost surely, 2103017451056 is an apocalyptic number.

103017451056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103017451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143467484160).

103017451056 is an abundant number, since it is smaller than the sum of its proper divisors (183917517264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103017451056 is a wasteful number, since it uses less digits than its factorization.

103017451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193074 (or 193068 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 103017451056 in words is "one hundred three billion, seventeen million, four hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 859 1718 2577 3436 5154 6872 10308 11167 13744 20616 22334 33501 41232 44668 67002 89336 134004 178672 192191 268008 384382 536016 576573 768764 1153146 1537528 2306292 2498483 3075056 4612584 4996966 7495449 9225168 9993932 14990898 19987864 29981796 39975728 59963592 119927184 165092069 330184138 495276207 660368276 990552414 1320736552 1981104828 2146196897 2641473104 3962209656 4292393794 6438590691 7924419312 8584787588 12877181382 17169575176 25754362764 34339150352 51508725528 103017451056