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200100102100 = 225235915673557
BaseRepresentation
bin1011101001011011100…
…1010011111111010100
3201010111022122101202121
42322112321103333110
511234301111231400
6231531423345324
720312444542603
oct2722671237724
9633438571677
10200100102100
1177953322408
1232945152244
1315b3bc9a2a2
1499834dba3a
15531214921a
hex2e96e53fd4

200100102100 has 72 divisors (see below), whose sum is σ = 435827105280. Its totient is φ = 79743726720.

The previous prime is 200100102071. The next prime is 200100102101. The reversal of 200100102100 is 1201001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56253522 + ... + 56257078.

It is an arithmetic number, because the mean of its divisors is an integer number (6053154240).

Almost surely, 2200100102100 is an apocalyptic number.

200100102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100102100 is an abundant number, since it is smaller than the sum of its proper divisors (235727003180).

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

200100102100 is a wasteful number, since it uses less digits than its factorization.

200100102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200100102100 its reverse (1201001002), we get a palindrome (201301103102).

The spelling of 200100102100 in words is "two hundred billion, one hundred million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 359 718 1436 1567 1795 3134 3557 3590 6268 7114 7180 7835 8975 14228 15670 17785 17950 31340 35570 35900 39175 71140 78350 88925 156700 177850 355700 562553 1125106 1276963 2250212 2553926 2812765 5107852 5573819 5625530 6384815 11147638 11251060 12769630 14063825 22295276 25539260 27869095 28127650 31924075 55738190 56255300 63848150 111476380 127696300 139345475 278690950 557381900 2001001021 4002002042 8004004084 10005005105 20010010210 40020020420 50025025525 100050051050 200100102100