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10000122100 = 2252268937189
BaseRepresentation
bin10010101000000110…
…11100000011110100
3221210220222211121121
421110003130003310
5130440012401400
64332145153324
7502545430633
oct112403340364
927726884547
1010000122100
114271898821
121b3102b844
13c34a30c17
146ac19551a
153d7dd421a
hex2540dc0f4

10000122100 has 36 divisors (see below), whose sum is σ = 21708918700. Its totient is φ = 3998453760.

The previous prime is 10000122079. The next prime is 10000122103. The reversal of 10000122100 is 122100001.

It can be written as a sum of positive squares in 6 ways, for example, as 468895716 + 9531226384 = 21654^2 + 97628^2 .

10000122100 is a modest number, since divided by 122100 gives 10000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000122103) 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, 250306 + ... + 287494.

Almost surely, 210000122100 is an apocalyptic number.

10000122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000122100 is an abundant number, since it is smaller than the sum of its proper divisors (11708796600).

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

10000122100 is a wasteful number, since it uses less digits than its factorization.

10000122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39892 (or 39885 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000122100 its reverse (122100001), we get a palindrome (10122222101).

The spelling of 10000122100 in words is "ten billion, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2689 5378 10756 13445 26890 37189 53780 67225 74378 134450 148756 185945 268900 371890 743780 929725 1859450 3718900 100001221 200002442 400004884 500006105 1000012210 2000024420 2500030525 5000061050 10000122100