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1320201320 = 235198320929
BaseRepresentation
bin100111010110000…
…1010110001101000
310102000012011202012
41032230022301220
510200432420240
6335000255052
744500345304
oct11654126150
93360164665
101320201320
11618245879
1230a171488
1318068bc19
14c749cd04
157ad80b65
hex4eb0ac68

1320201320 has 64 divisors (see below), whose sum is σ = 3164616000. Its totient is φ = 494235648.

The previous prime is 1320201313. The next prime is 1320201373. The reversal of 1320201320 is 231020231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1320201295 and 1320201304.

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, 52616 + ... + 73544.

It is an arithmetic number, because the mean of its divisors is an integer number (49447125).

Almost surely, 21320201320 is an apocalyptic number.

1320201320 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 1320201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582308000).

1320201320 is an abundant number, since it is smaller than the sum of its proper divisors (1844414680).

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

1320201320 is a wasteful number, since it uses less digits than its factorization.

1320201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1320201320 is about 36334.5747188542. The cubic root of 1320201320 is about 1097.0170753918.

Adding to 1320201320 its reverse (231020231), we get a palindrome (1551221551).

The spelling of 1320201320 in words is "one billion, three hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 380 415 664 760 830 1577 1660 3154 3320 6308 7885 12616 15770 20929 31540 41858 63080 83716 104645 167432 209290 397651 418580 795302 837160 1590604 1737107 1988255 3181208 3474214 3976510 6948428 7953020 8685535 13896856 15906040 17371070 33005033 34742140 66010066 69484280 132020132 165025165 264040264 330050330 660100660 1320201320