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10100110001000 = 235310100110001
BaseRepresentation
bin1001001011111001110101…
…1110000000001101101000
31022202120011000212020002012
42102332131132000031220
52310440011130013000
633251532041455052
72061465066330365
oct222763536001550
938676130766065
1010100110001000
113244483871538
1211715764a1488
135835896a08c6
1426cbc2a2546c
15127ad8b5a735
hex92f9d780368

10100110001000 has 32 divisors (see below), whose sum is σ = 23634257404680. Its totient is φ = 4040044000000.

The previous prime is 10100110000973. The next prime is 10100110001029. The reversal of 10100110001000 is 10001100101.

It can be written as a sum of positive squares in 4 ways, for example, as 1672619716804 + 8427490284196 = 1293298^2 + 2903014^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 5050054001 + ... + 5050056000.

Almost surely, 210100110001000 is an apocalyptic number.

10100110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110001000 is an abundant number, since it is smaller than the sum of its proper divisors (13534147403680).

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

10100110001000 is a wasteful number, since it uses less digits than its factorization.

10100110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100110022 (or 10100110008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100110001000 its reverse (10001100101), we get a palindrome (10110111101101).

The spelling of 10100110001000 in words is "ten trillion, one hundred billion, one hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10100110001 20200220002 40400440004 50500550005 80800880008 101001100010 202002200020 252502750025 404004400040 505005500050 1010011000100 1262513750125 2020022000200 2525027500250 5050055000500 10100110001000