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200012221100 = 225214957123509
BaseRepresentation
bin1011101001000110101…
…0000100101010101100
3201010021012021120200202
42322101222010222230
511234111112033400
6231515004013032
720310326554016
oct2722152045254
9633235246622
10200012221100
117790875908a
123291b831178
1315b26a0a9b3
1499759831b6
15530958a4d5
hex2e91a84aac

200012221100 has 72 divisors (see below), whose sum is σ = 437723286000. Its totient is φ = 79325395200.

The previous prime is 200012221091. The next prime is 200012221109. The reversal of 200012221100 is 1122210002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200012221091) and next prime (200012221109).

It is a super-4 number, since 4×2000122211004 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (200012221109) 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 23 ways as a sum of consecutive naturals, for example, 8496146 + ... + 8519654.

Almost surely, 2200012221100 is an apocalyptic number.

200012221100 is a gapful number since it is divisible by the number (20) 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 200012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218861643000).

200012221100 is an abundant number, since it is smaller than the sum of its proper divisors (237711064900).

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

200012221100 is a wasteful number, since it uses less digits than its factorization.

200012221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243 (or 24236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200012221100 its reverse (1122210002), we get a palindrome (201134431102).

The spelling of 200012221100 in words is "two hundred billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 571 596 745 1142 1490 2284 2855 2980 3725 5710 7450 11420 14275 14900 23509 28550 47018 57100 85079 94036 117545 170158 235090 340316 425395 470180 587725 850790 1175450 1701580 2126975 2350900 3502841 4253950 7005682 8507900 13423639 14011364 17514205 26847278 35028410 53694556 67118195 70056820 87571025 134236390 175142050 268472780 335590975 350284100 671181950 1342363900 2000122211 4000244422 8000488844 10000611055 20001222110 40002444220 50003055275 100006110550 200012221100