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1021330100120 = 235118053288241
BaseRepresentation
bin11101101110011000000…
…01001000111110011000
310121122020020202210002012
432313030001020332120
5113213141001200440
62101105332325052
7133534340416601
oct16671401107630
93548206683065
101021330100120
11364164240910
12145b35473788
13754073b9b65
143760b246da8
151b87916ae65
hexedcc048f98

1021330100120 has 64 divisors (see below), whose sum is σ = 2507221153440. Its totient is φ = 371345356800.

The previous prime is 1021330100113. The next prime is 1021330100129. The reversal of 1021330100120 is 210010331201.

It is a super-2 number, since 2×10213301001202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021330100095 and 1021330100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021330100129) 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 15 ways as a sum of consecutive naturals, for example, 3399200 + ... + 3687440.

Almost surely, 21021330100120 is an apocalyptic number.

1021330100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021330100120 is an abundant number, since it is smaller than the sum of its proper divisors (1485891053320).

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

1021330100120 is a wasteful number, since it uses less digits than its factorization.

1021330100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296316 (or 296312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1021330100120 its reverse (210010331201), we get a palindrome (1231340431321).

The spelling of 1021330100120 in words is "one trillion, twenty-one billion, three hundred thirty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 8053 16106 32212 40265 64424 80530 88583 161060 177166 288241 322120 354332 442915 576482 708664 885830 1152964 1441205 1771660 2305928 2882410 3170651 3543320 5764820 6341302 11529640 12682604 15853255 25365208 31706510 63413020 126826040 2321204773 4642409546 9284819092 11606023865 18569638184 23212047730 25533252503 46424095460 51066505006 92848190920 102133010012 127666262515 204266020024 255332525030 510665050060 1021330100120