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1321310380 = 22513172331283
BaseRepresentation
bin100111011000001…
…1001100010101100
310102002021112002111
41032300121202230
510201223413010
6335040133404
744512644565
oct11660314254
93362245074
101321310380
11618933055
1230a607264
13180989980
14c76ab16c
157aeee58a
hex4ec198ac

1321310380 has 96 divisors (see below), whose sum is σ = 3180026304. Its totient is φ = 456843264.

The previous prime is 1321310339. The next prime is 1321310399. The reversal of 1321310380 is 830131231.

It is a super-2 number, since 2×13213103802 = 3491722240591488800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029219 + ... + 1030501.

It is an arithmetic number, because the mean of its divisors is an integer number (33125274).

Almost surely, 21321310380 is an apocalyptic number.

1321310380 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 1321310380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590013152).

1321310380 is an abundant number, since it is smaller than the sum of its proper divisors (1858715924).

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

1321310380 is a wasteful number, since it uses less digits than its factorization.

1321310380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1321310380 is about 36349.8332871005. The cubic root of 1321310380 is about 1097.3241793680.

The spelling of 1321310380 in words is "one billion, three hundred twenty-one million, three hundred ten thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 233 260 340 442 466 884 932 1105 1165 1283 2210 2330 2566 3029 3961 4420 4660 5132 6058 6415 7922 12116 12830 15145 15844 16679 19805 21811 25660 30290 33358 39610 43622 51493 60580 66716 79220 83395 87244 102986 109055 166790 205972 218110 257465 283543 298939 333580 436220 514930 567086 597878 1029860 1134172 1195756 1417715 1494695 2835430 2989390 3886207 5081963 5670860 5978780 7772414 10163926 15544828 19431035 20327852 25409815 38862070 50819630 66065519 77724140 101639260 132131038 264262076 330327595 660655190 1321310380