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1000330011100 = 225277331949581
BaseRepresentation
bin11101000111010000101…
…00001010000111011100
310112122000201101201121101
432203220110022013130
5112342133440323400
62043313435442444
7132162052541350
oct16435024120734
93478021351541
101000330011100
11356268238142
12141a545b6424
137343b773694
14365b81cd460
151b04a70256a
hexe8e850a1dc

1000330011100 has 72 divisors (see below), whose sum is σ = 2484204174368. Its totient is φ = 342502214400.

The previous prime is 1000330011061. The next prime is 1000330011179. The reversal of 1000330011100 is 11100330001.

It is a super-2 number, since 2×10003300111002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 461691 + ... + 1487890.

Almost surely, 21000330011100 is an apocalyptic number.

1000330011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000330011100 is an abundant number, since it is smaller than the sum of its proper divisors (1483874163268).

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

1000330011100 is a wasteful number, since it uses less digits than its factorization.

1000330011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950335 (or 1950328 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1000330011100 its reverse (11100330001), we get a palindrome (1011430341101).

The spelling of 1000330011100 in words is "one trillion, three hundred thirty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 733 1466 2932 3665 5131 7330 10262 14660 18325 20524 25655 36650 51310 73300 102620 128275 256550 513100 1949581 3899162 7798324 9747905 13647067 19495810 27294134 38991620 48739525 54588268 68235335 97479050 136470670 194958100 272941340 341176675 682353350 1364706700 1429042873 2858085746 5716171492 7145214365 10003300111 14290428730 20006600222 28580857460 35726071825 40013200444 50016500555 71452143650 100033001110 142904287300 200066002220 250082502775 500165005550 1000330011100