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102133312020 = 22335189135763
BaseRepresentation
bin101111100011110011…
…1101010101000010100
3100202121211211211012000
41133013213222220110
53133132111441040
6114530331155300
710243646554035
oct1370747525024
9322554754160
10102133312020
113a350656a93
12179642a5b30
139828791c4c
144d2c4dca8c
1529cb682130
hex17c79eaa14

102133312020 has 48 divisors (see below), whose sum is σ = 317748083520. Its totient is φ = 27235549728.

The previous prime is 102133312003. The next prime is 102133312027. The reversal of 102133312020 is 20213331201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102133311984 and 102133312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133312027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94567342 + ... + 94568421.

It is an arithmetic number, because the mean of its divisors is an integer number (6619751740).

Almost surely, 2102133312020 is an apocalyptic number.

102133312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133312020 is an abundant number, since it is smaller than the sum of its proper divisors (215614771500).

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

102133312020 is a wasteful number, since it uses less digits than its factorization.

102133312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189135781 (or 189135773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133312020 its reverse (20213331201), we get a palindrome (122346643221).

It can be divided in two parts, 10213 and 3312020, that added together give a palindrome (3322233).

The spelling of 102133312020 in words is "one hundred two billion, one hundred thirty-three million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 189135763 378271526 567407289 756543052 945678815 1134814578 1702221867 1891357630 2269629156 2837036445 3404443734 3782715260 5106665601 5674072890 6808887468 8511109335 10213331202 11348145780 17022218670 20426662404 25533328005 34044437340 51066656010 102133312020