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102101323300 = 22521576503269
BaseRepresentation
bin101111100010110110…
…1101000111000100100
3100202112121122121220121
41133011231220320210
53133100414321200
6114523225411324
710243110633334
oct1370555507044
9322477577817
10102101323300
113a334598429
1217955639b44
139821c71a02
144d281730c4
1529c8963e1a
hex17c5b68e24

102101323300 has 36 divisors (see below), whose sum is σ = 222971115220. Its totient is φ = 40580392320.

The previous prime is 102101323279. The next prime is 102101323301. The reversal of 102101323300 is 3323101201.

It can be written as a sum of positive squares in 6 ways, for example, as 661621284 + 101439702016 = 25722^2 + 318496^2 .

It is a super-2 number, since 2×1021013233002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101323301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3235935 + ... + 3267334.

Almost surely, 2102101323300 is an apocalyptic number.

102101323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101323300 is an abundant number, since it is smaller than the sum of its proper divisors (120869791920).

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

102101323300 is a wasteful number, since it uses less digits than its factorization.

102101323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503440 (or 6503433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102101323300 its reverse (3323101201), we get a palindrome (105424424501).

The spelling of 102101323300 in words is "one hundred two billion, one hundred one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 6503269 13006538 26013076 32516345 65032690 130065380 162581725 325163450 650326900 1021013233 2042026466 4084052932 5105066165 10210132330 20420264660 25525330825 51050661650 102101323300