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10100001001000 = 235310100001001
BaseRepresentation
bin1001001011111001011011…
…1110001100111000101000
31022202112212102202110012011
42102332112332030320220
52310434300224013000
633251513145325304
72061462304002211
oct222762676147050
938675772673164
1010100001001000
113244428293199
121171545a96834
1358356cc28771
1426cbb2370408
15127ace2c92ba
hex92f96f8ce28

10100001001000 has 32 divisors (see below), whose sum is σ = 23634002344680. Its totient is φ = 4040000400000.

The previous prime is 10100001000919. The next prime is 10100001001009. The reversal of 10100001001000 is 10010000101.

It can be written as a sum of positive squares in 4 ways, for example, as 1076958270756 + 9023042730244 = 1037766^2 + 3003838^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (10100001001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5049999501 + ... + 5050001500.

Almost surely, 210100001001000 is an apocalyptic number.

10100001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001001000 is an abundant number, since it is smaller than the sum of its proper divisors (13534001343680).

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

10100001001000 is a wasteful number, since it uses less digits than its factorization.

10100001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100001022 (or 10100001008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100001001000 its reverse (10010000101), we get a palindrome (10110011001101).

The spelling of 10100001001000 in words is "ten trillion, one hundred billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10100001001 20200002002 40400004004 50500005005 80800008008 101000010010 202000020020 252500025025 404000040040 505000050050 1010000100100 1262500125125 2020000200200 2525000250250 5050000500500 10100001001000