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102041053300 = 225217257233557
BaseRepresentation
bin101111100001000011…
…1101110100001110100
3100202101102020121000101
41133002013232201310
53132440002201200
6114513233523444
710241446433134
oct1370207564164
9322342217011
10102041053300
113a30357270a
1217939413584
13981262bba4
144d20164ac4
1529c350b26a
hex17c21ee874

102041053300 has 72 divisors (see below), whose sum is σ = 235367607384. Its totient is φ = 38265815040.

The previous prime is 102041053297. The next prime is 102041053313. The reversal of 102041053300 is 3350140201.

It can be written as a sum of positive squares in 12 ways, for example, as 16415759376 + 85625293924 = 128124^2 + 292618^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 320122 + ... + 553678.

It is an arithmetic number, because the mean of its divisors is an integer number (3268994547).

Almost surely, 2102041053300 is an apocalyptic number.

102041053300 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 102041053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117683803692).

102041053300 is an abundant number, since it is smaller than the sum of its proper divisors (133326554084).

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

102041053300 is a wasteful number, since it uses less digits than its factorization.

102041053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233845 (or 233838 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 102041053300 its reverse (3350140201), we get a palindrome (105391193501).

The spelling of 102041053300 in words is "one hundred two billion, forty-one million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 257 340 425 514 850 1028 1285 1700 2570 4369 5140 6425 8738 12850 17476 21845 25700 43690 87380 109225 218450 233557 436900 467114 934228 1167785 2335570 3970469 4671140 5838925 7940938 11677850 15881876 19852345 23355700 39704690 60024149 79409380 99261725 120048298 198523450 240096596 300120745 397046900 600241490 1020410533 1200482980 1500603725 2040821066 3001207450 4081642132 5102052665 6002414900 10204105330 20408210660 25510263325 51020526650 102041053300