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1330013311110 = 2325115801231589
BaseRepresentation
bin10011010110101010111…
…110001001000010000110
311201010222220200122000100
4103112222332021002012
5133242331401423420
62454555533024530
7165042653420211
oct23265276110206
94633886618010
101330013311110
11473067928040
12195922925146
139855c170223
144853169a778
15248e3ccd190
hex135aaf89086

1330013311110 has 96 divisors (see below), whose sum is σ = 3773067985440. Its totient is φ = 322370496000.

The previous prime is 1330013311103. The next prime is 1330013311111. The reversal of 1330013311110 is 111133100331.

1330013311110 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 331 + 1 + 1 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330013311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5627196 + ... + 5858784.

It is an arithmetic number, because the mean of its divisors is an integer number (39302791515).

Almost surely, 21330013311110 is an apocalyptic number.

1330013311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330013311110 is an abundant number, since it is smaller than the sum of its proper divisors (2443054674330).

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

1330013311110 is a wasteful number, since it uses less digits than its factorization.

1330013311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237414 (or 237411 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1330013311110 its reverse (111133100331), we get a palindrome (1441146411441).

The spelling of 1330013311110 in words is "one trillion, three hundred thirty billion, thirteen million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 5801 11602 17403 29005 34806 52209 58010 63811 87015 104418 127622 174030 191433 231589 261045 319055 382866 463178 522090 574299 638110 694767 957165 1148598 1157945 1389534 1914330 2084301 2315890 2547479 2871495 3473835 4168602 5094958 5742990 6947670 7642437 10421505 12737395 15284874 20843010 22927311 25474790 38212185 45854622 76424370 114636555 229273110 1343447789 2686895578 4030343367 6717238945 8060686734 12091030101 13434477890 14777925679 20151716835 24182060202 29555851358 40303433670 44333777037 60455150505 73889628395 88667554074 120910301010 133001331111 147779256790 221668885185 266002662222 443337770370 665006655555 1330013311110