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101202212000 = 255325300553
BaseRepresentation
bin101111001000000011…
…1110011010010100000
3100200012221211001002002
41132100013303102200
53124230231241000
6114254110343132
710211612415521
oct1362007632240
9320187731062
10101202212000
1139a1301283a
12177444baaa8
13970a8c99a6
144c809a8848
152974a608d5
hex17901f34a0

101202212000 has 48 divisors (see below), whose sum is σ = 248653844712. Its totient is φ = 40480883200.

The previous prime is 101202211987. The next prime is 101202212029. The reversal of 101202212000 is 212202101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17632652944 + 83569559056 = 132788^2 + 289084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12646277 + ... + 12654276.

Almost surely, 2101202212000 is an apocalyptic number.

101202212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202212000 is an abundant number, since it is smaller than the sum of its proper divisors (147451632712).

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

101202212000 is an equidigital number, since it uses as much as digits as its factorization.

101202212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25300578 (or 25300560 counting only the distinct ones).

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

Adding to 101202212000 its reverse (212202101), we get a palindrome (101414414101).

The spelling of 101202212000 in words is "one hundred one billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 25300553 50601106 101202212 126502765 202404424 253005530 404808848 506011060 632513825 809617696 1012022120 1265027650 2024044240 2530055300 3162569125 4048088480 5060110600 6325138250 10120221200 12650276500 20240442400 25300553000 50601106000 101202212000