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1330120000 = 2654113023
BaseRepresentation
bin100111101001000…
…0000010101000000
310102200212002121201
41033102000111000
510211002320000
6335553030544
744650555606
oct11722002500
93380762551
101330120000
116228aa930
12311555454
13182752771
14c8921876
157bb8e96a
hex4f480540

1330120000 has 140 divisors (see below), whose sum is σ = 3599297856. Its totient is φ = 483520000.

The previous prime is 1330119997. The next prime is 1330120009. The reversal of 1330120000 is 210331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 438489 + ... + 441511.

Almost surely, 21330120000 is an apocalyptic number.

1330120000 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 1330120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799648928).

1330120000 is an abundant number, since it is smaller than the sum of its proper divisors (2269177856).

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

1330120000 is an equidigital number, since it uses as much as digits as its factorization.

1330120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1330120000 is about 36470.8102460036. The cubic root of 1330120000 is about 1099.7575223111.

Adding to 1330120000 its reverse (210331), we get a palindrome (1330330331).

The spelling of 1330120000 in words is "one billion, three hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3023 3520 4000 4400 5000 5500 6046 6875 8000 8800 10000 11000 12092 13750 15115 17600 20000 22000 24184 27500 30230 33253 40000 44000 48368 55000 60460 66506 75575 88000 96736 110000 120920 133012 151150 166265 193472 220000 241840 266024 302300 332530 377875 440000 483680 532048 604600 665060 755750 831325 967360 1064096 1209200 1330120 1511500 1662650 1889375 2128192 2418400 2660240 3023000 3325300 3778750 4156625 4836800 5320480 6046000 6650600 7557500 8313250 10640960 12092000 13301200 15115000 16626500 20783125 24184000 26602400 30230000 33253000 41566250 53204800 60460000 66506000 83132500 120920000 133012000 166265000 266024000 332530000 665060000 1330120000