Search a number
-
+
1001011211010 = 232527494045961
BaseRepresentation
bin11101001000100001110…
…10101110101100000010
310112200210012012021012200
432210100322232230002
5112400032332223020
62043505212134030
7132214663622046
oct16442072565402
93480705167180
101001011211010
11356587806778
12142004767316
137351992c855
1436640872026
151b08a40e590
hexe910eaeb02

1001011211010 has 48 divisors (see below), whose sum is σ = 2603576547000. Its totient is φ = 266839153920.

The previous prime is 1001011210931. The next prime is 1001011211023. The reversal of 1001011211010 is 101121101001.

It can be written as a sum of positive squares in 4 ways, for example, as 349660525041 + 651350685969 = 591321^2 + 807063^2 .

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 = 1001011210983 and 1001011211001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775571 + ... + 2270390.

Almost surely, 21001011211010 is an apocalyptic number.

1001011211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001011211010 is an abundant number, since it is smaller than the sum of its proper divisors (1602565335990).

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

1001011211010 is a wasteful number, since it uses less digits than its factorization.

1001011211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048723 (or 4048720 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001011211010 its reverse (101121101001), we get a palindrome (1102132312011).

The spelling of 1001011211010 in words is "one trillion, one billion, eleven million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2749 5498 8247 13745 16494 24741 27490 41235 49482 82470 123705 247410 4045961 8091922 12137883 20229805 24275766 36413649 40459610 60689415 72827298 121378830 182068245 364136490 11122346789 22244693578 33367040367 55611733945 66734080734 100101121101 111223467890 166835201835 200202242202 333670403670 500505605505 1001011211010