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1144211310033 = 311177092876717
BaseRepresentation
bin10000101001101000010…
…011110000010111010001
311001101102001110000112220
4100221220103300113101
5122221321043410113
62233350551211253
7145444423443111
oct20515023602721
94041361400486
101144211310033
11401291500650
1216590a076b29
1383b8b49645c
143d5470b3041
151eb6c04d523
hex10a684f05d1

1144211310033 has 32 divisors (see below), whose sum is σ = 1764693889920. Its totient is φ = 651748776960.

The previous prime is 1144211309957. The next prime is 1144211310161. The reversal of 1144211310033 is 3300131124411.

It is a happy number.

It is not a de Polignac number, because 1144211310033 - 240 = 44699682257 is a prime.

It is a super-2 number, since 2×11442113100332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144211309985 and 1144211310012.

It is not an unprimeable number, because it can be changed into a prime (1144211310733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040610 + ... + 1836107.

It is an arithmetic number, because the mean of its divisors is an integer number (55146684060).

Almost surely, 21144211310033 is an apocalyptic number.

It is an amenable number.

1144211310033 is a deficient number, since it is larger than the sum of its proper divisors (620482579887).

1144211310033 is a wasteful number, since it uses less digits than its factorization.

1144211310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877457.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1144211310033 its reverse (3300131124411), we get a palindrome (4444342434444).

The spelling of 1144211310033 in words is "one trillion, one hundred forty-four billion, two hundred eleven million, three hundred ten thousand, thirty-three".

Divisors: 1 3 11 17 33 51 187 561 709 2127 7799 12053 23397 36159 132583 397749 2876717 8630151 31643887 48904189 94931661 146712567 537946079 1613838237 2039592353 6118777059 22435515883 34673070001 67306547649 104019210003 381403770011 1144211310033