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200020112101100 = 225289104992140601
BaseRepresentation
bin101101011110101011001111…
…101110101100111011101100
3222020012201212112002122121202
4231132223033232230323230
5202204112142144213400
61545223545421345032
760062655561334004
oct5536531756547354
9866181775078552
10200020112101100
1158807064849605
121a5252a2a08178
13877ba7ac56315
14375704cb6b004
15181ceaeaa04d5
hexb5eacfbaceec

200020112101100 has 72 divisors (see below), whose sum is σ = 438962549130000. Its totient is φ = 79101506176000.

The previous prime is 200020112101087. The next prime is 200020112101129. The reversal of 200020112101100 is 1101211020002.

It is a super-2 number, since 2×2000201121011002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92370800 + ... + 94511400.

It is an arithmetic number, because the mean of its divisors is an integer number (6096702071250).

Almost surely, 2200020112101100 is an apocalyptic number.

200020112101100 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 200020112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219481274565000).

200020112101100 is an abundant number, since it is smaller than the sum of its proper divisors (238942437028900).

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

200020112101100 is a wasteful number, since it uses less digits than its factorization.

200020112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151203 (or 2151196 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200020112101100 its reverse (1101211020002), we get a palindrome (201121323121102).

The spelling of 200020112101100 in words is "two hundred trillion, twenty billion, one hundred twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 10499 20998 41996 52495 104990 209980 262475 524950 934411 1049900 1868822 2140601 3737644 4281202 4672055 8562404 9344110 10703005 18688220 21406010 23360275 42812020 46720550 53515025 93441100 107030050 190513489 214060100 381026978 762053956 952567445 1905134890 3810269780 4762837225 9525674450 19051348900 22474169899 44948339798 89896679596 112370849495 224741698990 449483397980 561854247475 1123708494950 2000201121011 2247416989900 4000402242022 8000804484044 10001005605055 20002011210110 40004022420220 50005028025275 100010056050550 200020112101100