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2321021120 = 265111374813
BaseRepresentation
bin1000101001010111…
…1111100011000000
312222202102002102012
42022111333203000
514223140133440
61022151312052
7111342232265
oct21225774300
95882362365
102321021120
11a91179580
1254937b628
132acb252a2
1418038126c
15d8b74e65
hex8a57f8c0

2321021120 has 112 divisors (see below), whose sum is σ = 6074651808. Its totient is φ = 837672960.

The previous prime is 2321021089. The next prime is 2321021161. The reversal of 2321021120 is 211201232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2321021095 and 2321021104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479834 + ... + 484646.

Almost surely, 22321021120 is an apocalyptic number.

2321021120 is a gapful number since it is divisible by the number (20) 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 2321021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037325904).

2321021120 is an abundant number, since it is smaller than the sum of its proper divisors (3753630688).

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

2321021120 is a wasteful number, since it uses less digits than its factorization.

2321021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2321021120 is about 48176.9770741171. The cubic root of 2321021120 is about 1324.0153824240.

Adding to 2321021120 its reverse (211201232), we get a palindrome (2532222352).

The spelling of 2321021120 in words is "two billion, three hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 137 160 176 220 274 320 352 440 548 685 704 880 1096 1370 1507 1760 2192 2740 3014 3520 4384 4813 5480 6028 7535 8768 9626 10960 12056 15070 19252 21920 24065 24112 30140 38504 43840 48130 48224 52943 60280 77008 96260 96448 105886 120560 154016 192520 211772 241120 264715 308032 385040 423544 482240 529430 659381 770080 847088 1058860 1318762 1540160 1694176 2117720 2637524 3296905 3388352 4235440 5275048 6593810 7253191 8470880 10550096 13187620 14506382 16941760 21100192 26375240 29012764 36265955 42200384 52750480 58025528 72531910 105500960 116051056 145063820 211001920 232102112 290127640 464204224 580255280 1160510560 2321021120