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2030516100 = 223452250681
BaseRepresentation
bin111100100000111…
…0011011110000100
312020111202220110000
41321001303132010
513124303003400
6533253001300
7101214050004
oct17101633604
95214686400
102030516100
1195219a888
12488023230
132648a0222
14153960004
15bd3de600
hex79073784

2030516100 has 90 divisors (see below), whose sum is σ = 6582157274. Its totient is φ = 541468800.

The previous prime is 2030516087. The next prime is 2030516119. The reversal of 2030516100 is 16150302.

2030516100 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 51 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 107868996 + 1922647104 = 10386^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 117241 + ... + 133440.

Almost surely, 22030516100 is an apocalyptic number.

2030516100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2030516100 is an abundant number, since it is smaller than the sum of its proper divisors (4551641174).

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

2030516100 is a wasteful number, since it uses less digits than its factorization.

2030516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250707 (or 250691 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2030516100 is about 45061.2483182612. The cubic root of 2030516100 is about 1266.2967117486.

Adding to 2030516100 its reverse (16150302), we get a palindrome (2046666402).

The spelling of 2030516100 in words is "two billion, thirty million, five hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 250681 501362 752043 1002724 1253405 1504086 2256129 2506810 3008172 3760215 4512258 5013620 6267025 6768387 7520430 9024516 11280645 12534050 13536774 15040860 18801075 20305161 22561290 25068100 27073548 33841935 37602150 40610322 45122580 56403225 67683870 75204300 81220644 101525805 112806450 135367740 169209675 203051610 225612900 338419350 406103220 507629025 676838700 1015258050 2030516100