Search a number
-
+
1000300211010 = 232511114446789
BaseRepresentation
bin11101000111001101000…
…10011110101101000010
310112121221122022201120100
432203212202132231002
5112342103323223020
62043310453023230
7132161241334542
oct16434642365502
93477848281510
101000300211010
11356252433971
12141a46624b16
137343553b6a9
14365b4273322
151b047cb7a90
hexe8e689eb42

1000300211010 has 24 divisors (see below), whose sum is σ = 2600780548860. Its totient is φ = 266746722912.

The previous prime is 1000300210979. The next prime is 1000300211023. The reversal of 1000300211010 is 101120030001.

1000300211010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 841914518481 + 158385692529 = 917559^2 + 397977^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000300210983 and 1000300211001.

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, 5557223305 + ... + 5557223484.

Almost surely, 21000300211010 is an apocalyptic number.

1000300211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000300211010 is an abundant number, since it is smaller than the sum of its proper divisors (1600480337850).

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

1000300211010 is a wasteful number, since it uses less digits than its factorization.

1000300211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114446802 (or 11114446799 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000300211010 its reverse (101120030001), we get a palindrome (1101420241011).

The spelling of 1000300211010 in words is "one trillion, three hundred million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11114446789 22228893578 33343340367 55572233945 66686680734 100030021101 111144467890 166716701835 200060042202 333433403670 500150105505 1000300211010