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200122120100 = 22527240841249
BaseRepresentation
bin1011101001100000110…
…1010011011110100100
3201010112212002000210002
42322120031103132210
511234322230320400
6231533531320432
720313132645200
oct2723015233644
9633485060702
10200122120100
11779647a0901
12329505b0118
1315b437090a6
1499863cdb00
155314047ed5
hex2e983537a4

200122120100 has 54 divisors (see below), whose sum is σ = 505165421250. Its totient is φ = 68613296640.

The previous prime is 200122120087. The next prime is 200122120111. The reversal of 200122120100 is 1021221002.

It is a happy number.

200122120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3275501824 + 196846618276 = 57232^2 + 443674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20415725 + ... + 20425524.

Almost surely, 2200122120100 is an apocalyptic number.

200122120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122120100 is an abundant number, since it is smaller than the sum of its proper divisors (305043301150).

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

200122120100 is a wasteful number, since it uses less digits than its factorization.

200122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40841277 (or 40841263 counting only the distinct ones).

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

Adding to 200122120100 its reverse (1021221002), we get a palindrome (201143341102).

The spelling of 200122120100 in words is "two hundred billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 40841249 81682498 163364996 204206245 285888743 408412490 571777486 816824980 1021031225 1143554972 1429443715 2001221201 2042062450 2858887430 4002442402 4084124900 5717774860 7147218575 8004884804 10006106005 14294437150 20012212010 28588874300 40024424020 50030530025 100061060050 200122120100