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30200100 = 22352773197
BaseRepresentation
bin111001100110…
…1000100100100
32002211022202020
41303031010210
530212400400
62555143140
7514460640
oct163150444
962738666
1030200100
1116057867
12a144ab0
1363450a8
144021c20
1529b82a0
hex1ccd124

30200100 has 144 divisors (see below), whose sum is σ = 101743488. Its totient is φ = 6773760.

The previous prime is 30200099. The next prime is 30200117. The reversal of 30200100 is 100203.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153202 + ... + 153398.

It is an arithmetic number, because the mean of its divisors is an integer number (706552).

Almost surely, 230200100 is an apocalyptic number.

30200100 is a gapful number since it is divisible by the number (30) 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 30200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50871744).

30200100 is an abundant number, since it is smaller than the sum of its proper divisors (71543388).

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

30200100 is a wasteful number, since it uses less digits than its factorization.

30200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30200100 is about 5495.4617640377. The cubic root of 30200100 is about 311.4125616517.

Adding to 30200100 its reverse (100203), we get a palindrome (30300303).

The spelling of 30200100 in words is "thirty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 197 210 219 292 300 350 365 394 420 438 511 525 591 700 730 788 876 985 1022 1050 1095 1182 1379 1460 1533 1825 1970 2044 2100 2190 2364 2555 2758 2955 3066 3650 3940 4137 4380 4925 5110 5475 5516 5910 6132 6895 7300 7665 8274 9850 10220 10950 11820 12775 13790 14381 14775 15330 16548 19700 20685 21900 25550 27580 28762 29550 30660 34475 38325 41370 43143 51100 57524 59100 68950 71905 76650 82740 86286 100667 103425 137900 143810 153300 172572 201334 206850 215715 287620 302001 359525 402668 413700 431430 503335 604002 719050 862860 1006670 1078575 1208004 1438100 1510005 2013340 2157150 2516675 3020010 4314300 5033350 6040020 7550025 10066700 15100050 30200100