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1221133303100 = 2252411987149893
BaseRepresentation
bin10001110001010001001…
…101110111110100111100
311022201221212202010211002
4101301101031313310330
5130001340111144400
62332551512345432
7154136551546424
oct21612115676474
94281855663732
101221133303100
11430974a07547
121787b70a5278
138b1c9a03899
144316313b484
1521b701b9ed5
hex11c51377d3c

1221133303100 has 72 divisors (see below), whose sum is σ = 2715874225008. Its totient is φ = 476296819200.

The previous prime is 1221133303099. The next prime is 1221133303121. The reversal of 1221133303100 is 13033311221.

It is a super-2 number, since 2×12211333031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8071754 + ... + 8221646.

Almost surely, 21221133303100 is an apocalyptic number.

1221133303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221133303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357937112504).

1221133303100 is an abundant number, since it is smaller than the sum of its proper divisors (1494740921908).

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

1221133303100 is a wasteful number, since it uses less digits than its factorization.

1221133303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151935 (or 151928 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1221133303100 its reverse (13033311221), we get a palindrome (1234166614321).

The spelling of 1221133303100 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1987 2050 3974 4100 7948 9935 19870 39740 49675 81467 99350 149893 162934 198700 299786 325868 407335 599572 749465 814670 1498930 1629340 2036675 2997860 3747325 4073350 6145613 7494650 8146700 12291226 14989300 24582452 30728065 61456130 122912260 153640325 297837391 307280650 595674782 614561300 1191349564 1489186955 2978373910 5956747820 7445934775 12211333031 14891869550 24422666062 29783739100 48845332124 61056665155 122113330310 244226660620 305283325775 610566651550 1221133303100