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1102130020 = 2254110191319
BaseRepresentation
bin100000110110001…
…0010101101100100
32211210212000011101
41001230102231210
54224121130040
6301210245444
736211644025
oct10154225544
92753760141
101102130020
1151613a662
12269126884
13147448354
14a6534c4c
1566b5709a
hex41b12b64

1102130020 has 48 divisors (see below), whose sum is σ = 2375049600. Its totient is φ = 429351680.

The previous prime is 1102129997. The next prime is 1102130023. The reversal of 1102130020 is 200312011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102129979 and 1102130006.

It is not an unprimeable number, because it can be changed into a prime (1102130023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834921 + ... + 836239.

It is an arithmetic number, because the mean of its divisors is an integer number (49480200).

Almost surely, 21102130020 is an apocalyptic number.

1102130020 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 1102130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187524800).

1102130020 is an abundant number, since it is smaller than the sum of its proper divisors (1272919580).

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

1102130020 is a wasteful number, since it uses less digits than its factorization.

1102130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1102130020 is about 33198.3436333803. The cubic root of 1102130020 is about 1032.9459819995.

Adding to 1102130020 its reverse (200312011), we get a palindrome (1302442031).

It can be divided in two parts, 11021 and 30020, that added together give a triangular number (41041 = T286).

The spelling of 1102130020 in words is "one billion, one hundred two million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1019 1319 2038 2638 4076 5095 5276 6595 10190 13190 20380 26380 41779 54079 83558 108158 167116 208895 216316 270395 417790 540790 835580 1081580 1344061 2688122 5376244 6720305 13440610 26881220 55106501 110213002 220426004 275532505 551065010 1102130020