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102200302020 = 22358320522149
BaseRepresentation
bin101111100101110011…
…1001101100111000100
3100202210111220021012010
41133023213031213010
53133301234131040
6114541123054220
710245422143125
oct1371347154704
9322714807163
10102200302020
113a385451623
1217982811370
1398396186bb
144d3737a04c
1529d24b5e80
hex17cb9cd9c4

102200302020 has 48 divisors (see below), whose sum is σ = 289608580800. Its totient is φ = 26925058176.

The previous prime is 102200301991. The next prime is 102200302037. The reversal of 102200302020 is 20203002201.

It is a super-3 number, since 3×1022003020203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102200301987 and 102200302005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10256095 + ... + 10266054.

It is an arithmetic number, because the mean of its divisors is an integer number (6033512100).

Almost surely, 2102200302020 is an apocalyptic number.

102200302020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200302020 is an abundant number, since it is smaller than the sum of its proper divisors (187408278780).

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

102200302020 is a wasteful number, since it uses less digits than its factorization.

102200302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522244 (or 20522242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102200302020 its reverse (20203002201), we get a palindrome (122403304221).

The spelling of 102200302020 in words is "one hundred two billion, two hundred million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 20522149 41044298 61566447 82088596 102610745 123132894 205221490 246265788 307832235 410442980 615664470 1231328940 1703338367 3406676734 5110015101 6813353468 8516691835 10220030202 17033383670 20440060404 25550075505 34066767340 51100151010 102200302020