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102013003020 = 223513712410341
BaseRepresentation
bin101111100000001110…
…0101110010100001100
3100202022110110111021010
41133000130232110030
53132410312044040
6114510352405220
710240656134655
oct1370034562414
9322273414233
10102013003020
113a299754065
121792bb46810
13980988a4a6
144d1a54252c
1529c0d19e80
hex17c072e50c

102013003020 has 48 divisors (see below), whose sum is σ = 287721368928. Its totient is φ = 27004899840.

The previous prime is 102013003009. The next prime is 102013003021. The reversal of 102013003020 is 20300310201.

It is a happy number.

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 = 102013002987 and 102013003005.

It is not an unprimeable number, because it can be changed into a prime (102013003021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6196951 + ... + 6213390.

It is an arithmetic number, because the mean of its divisors is an integer number (5994195186).

Almost surely, 2102013003020 is an apocalyptic number.

102013003020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013003020 is an abundant number, since it is smaller than the sum of its proper divisors (185708365908).

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

102013003020 is a wasteful number, since it uses less digits than its factorization.

102013003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410490 (or 12410488 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102013003020 its reverse (20300310201), we get a palindrome (122313313221).

The spelling of 102013003020 in words is "one hundred two billion, thirteen million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 12410341 24820682 37231023 49641364 62051705 74462046 124103410 148924092 186155115 248206820 372310230 744620460 1700216717 3400433434 5100650151 6800866868 8501083585 10201300302 17002167170 20402600604 25503250755 34004334340 51006501510 102013003020