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10001012200 = 235270970529
BaseRepresentation
bin10010101000001101…
…10101010111101000
3221210222200001121021
421110012311113220
5130440224342300
64332220222224
7502556125654
oct112406652750
927728601537
1010001012200
114272346543
121b3139a974
13c34c830ca
146ac347a64
153d800cd1a
hex2541b55e8

10001012200 has 48 divisors (see below), whose sum is σ = 23285479500. Its totient is φ = 3994705920.

The previous prime is 10001012183. The next prime is 10001012233. The reversal of 10001012200 is 221010001.

It can be written as a sum of positive squares in 6 ways, for example, as 2008294596 + 7992717604 = 44814^2 + 89402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106536 + ... + 177064.

Almost surely, 210001012200 is an apocalyptic number.

10001012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001012200 is an abundant number, since it is smaller than the sum of its proper divisors (13284467300).

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

10001012200 is a wasteful number, since it uses less digits than its factorization.

10001012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71254 (or 71245 counting only the distinct ones).

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

Adding to 10001012200 its reverse (221010001), we get a palindrome (10222022201).

The spelling of 10001012200 in words is "ten billion, one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 709 1418 2836 3545 5672 7090 14180 17725 28360 35450 70529 70900 141058 141800 282116 352645 564232 705290 1410580 1763225 2821160 3526450 7052900 14105800 50005061 100010122 200020244 250025305 400040488 500050610 1000101220 1250126525 2000202440 2500253050 5000506100 10001012200