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10051000100 = 2252175912353
BaseRepresentation
bin10010101110001011…
…00001011100100100
3221221110201201002222
421113011201130210
5131041024000400
64341203451512
7504034043201
oct112705413444
927843651088
1010051000100
114298589159
121b46086b98
13c42435b4b
146b4c3aca8
153dc5d4185
hex257161724

10051000100 has 36 divisors (see below), whose sum is σ = 23093654724. Its totient is φ = 3783905280.

The previous prime is 10051000081. The next prime is 10051000103. The reversal of 10051000100 is 100015001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 70190884 + 9980809216 = 8378^2 + 99904^2 .

It is not an unprimeable number, because it can be changed into a prime (10051000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2954477 + ... + 2957876.

It is an arithmetic number, because the mean of its divisors is an integer number (641490409).

Almost surely, 210051000100 is an apocalyptic number.

10051000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10051000100 is an abundant number, since it is smaller than the sum of its proper divisors (13042654624).

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

10051000100 is a wasteful number, since it uses less digits than its factorization.

10051000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912384 (or 5912377 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10051000100 its reverse (100015001), we get a palindrome (10151015101).

The spelling of 10051000100 in words is "ten billion, fifty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5912353 11824706 23649412 29561765 59123530 100510001 118247060 147808825 201020002 295617650 402040004 502550005 591235300 1005100010 2010200020 2512750025 5025500050 10051000100