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102132300220 = 225109167280537
BaseRepresentation
bin101111100011110001…
…1110011100110111100
3100202121202221102020221
41133013203303212330
53133131332101340
6114530253351124
710243635141136
oct1370743634674
9322552842227
10102132300220
113a350025895
1217963a984a4
1398284c9552
144d2c318056
1529cb53244a
hex17c78f39bc

102132300220 has 48 divisors (see below), whose sum is σ = 217742374080. Its totient is φ = 40235595264.

The previous prime is 102132300217. The next prime is 102132300223. The reversal of 102132300220 is 22003231201.

It is an interprime number because it is at equal distance from previous prime (102132300217) and next prime (102132300223).

It is a junction number, because it is equal to n+sod(n) for n = 102132300194 and 102132300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132300223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223792 + ... + 504328.

It is an arithmetic number, because the mean of its divisors is an integer number (4536299460).

Almost surely, 2102132300220 is an apocalyptic number.

102132300220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132300220 is an abundant number, since it is smaller than the sum of its proper divisors (115610073860).

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

102132300220 is a wasteful number, since it uses less digits than its factorization.

102132300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280822 (or 280820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102132300220 its reverse (22003231201), we get a palindrome (124135531421).

The spelling of 102132300220 in words is "one hundred two billion, one hundred thirty-two million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 167 218 334 436 545 668 835 1090 1670 2180 3340 18203 36406 72812 91015 182030 280537 364060 561074 1122148 1402685 2805370 5610740 30578533 46849679 61157066 93699358 122314132 152892665 187398716 234248395 305785330 468496790 611570660 936993580 5106615011 10213230022 20426460044 25533075055 51066150110 102132300220