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103082108514 = 237111729452579
BaseRepresentation
bin110000000000000101…
…1000010011001100010
3100212001222011200021220
41200000023002121202
53142103004433024
6115204423155510
710306320315420
oct1400013023142
9325058150256
10103082108514
113a798187920
1217b89ba5b96
13994a211ca8
144dbc51c110
152a34aebe79
hex18002c2662

103082108514 has 128 divisors (see below), whose sum is σ = 281540966400. Its totient is φ = 24330593280.

The previous prime is 103082108483. The next prime is 103082108573. The reversal of 103082108514 is 415801280301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1477 + ... + 454055.

It is an arithmetic number, because the mean of its divisors is an integer number (2199538800).

Almost surely, 2103082108514 is an apocalyptic number.

103082108514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103082108514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140770483200).

103082108514 is an abundant number, since it is smaller than the sum of its proper divisors (178458857886).

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

103082108514 is a wasteful number, since it uses less digits than its factorization.

103082108514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452648.

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 103082108514 its reverse (415801280301), we get a palindrome (518883388815).

The spelling of 103082108514 in words is "one hundred three billion, eighty-two million, one hundred eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 29 33 34 42 51 58 66 77 87 102 119 154 174 187 203 231 238 319 357 374 406 462 493 561 609 638 714 957 986 1122 1218 1309 1479 1914 2233 2618 2958 3451 3927 4466 5423 6699 6902 7854 10353 10846 13398 16269 20706 32538 37961 75922 113883 227766 452579 905158 1357737 2715474 3168053 4978369 6336106 7693843 9504159 9956738 13124791 14935107 15387686 19008318 23081529 26249582 29870214 34848583 39374373 46163058 53856901 69697166 78748746 84632273 91873537 104545749 107713802 144372701 161570703 169264546 183747074 209091498 223121447 253896819 275620611 288745402 323141406 433118103 446242894 507793638 551241222 592425911 669364341 866236206 1010608907 1184851822 1338728682 1561850129 1777277733 2021217814 2454335917 3031826721 3123700258 3554555466 4685550387 4908671834 6063653442 7363007751 9371100774 14726015502 17180351419 34360702838 51541054257 103082108514