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102054204460 = 225131573896427
BaseRepresentation
bin101111100001011100…
…1111001010000101100
3100202102022222202000101
41133002321321100230
53133001334020320
6114514423440444
710241666265535
oct1370271712054
9322368882011
10102054204460
113a30aa3533a
12179418b6124
139815284b40
144d21bc968c
1529c4757c0a
hex17c2e7942c

102054204460 has 96 divisors (see below), whose sum is σ = 232902895680. Its totient is φ = 37339481088.

The previous prime is 102054204409. The next prime is 102054204481. The reversal of 102054204460 is 64402450201.

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 31 ways as a sum of consecutive naturals, for example, 15875767 + ... + 15882193.

It is an arithmetic number, because the mean of its divisors is an integer number (2426071830).

Almost surely, 2102054204460 is an apocalyptic number.

102054204460 is a gapful number since it is divisible by the number (10) 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 102054204460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116451447840).

102054204460 is an abundant number, since it is smaller than the sum of its proper divisors (130848691220).

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

102054204460 is a wasteful number, since it uses less digits than its factorization.

102054204460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 102054204460 its reverse (64402450201), we get a palindrome (166456654661).

The spelling of 102054204460 in words is "one hundred two billion, fifty-four million, two hundred four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 389 628 778 785 1556 1570 1945 2041 3140 3890 4082 5057 6427 7780 8164 10114 10205 12854 20228 20410 25285 25708 32135 40820 50570 61073 64270 83551 101140 122146 128540 167102 244292 305365 334204 417755 610730 793949 835510 1009039 1221460 1587898 1671020 2018078 2500103 3175796 3969745 4036156 5000206 5045195 7939490 10000412 10090390 12500515 13117507 15878980 20180780 25001030 26235014 32501339 50002060 52470028 65002678 65587535 130005356 131175070 162506695 262350140 325013390 392516171 650026780 785032342 1570064684 1962580855 3925161710 5102710223 7850323420 10205420446 20410840892 25513551115 51027102230 102054204460