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1381300000 = 255519727
BaseRepresentation
bin101001001010100…
…1111011100100000
310120021011022101021
41102111033130200
510312103100000
6345022015224
746141566463
oct12225173440
93507138337
101381300000
11649787153
12326717514
13190231ca2
14d16452da
15813ee11a
hex5254f720

1381300000 has 144 divisors (see below), whose sum is σ = 3582895680. Its totient is φ = 522720000.

The previous prime is 1381299991. The next prime is 1381300001. The reversal of 1381300000 is 31831.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1381300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899637 + ... + 1900363.

It is an arithmetic number, because the mean of its divisors is an integer number (24881220).

Almost surely, 21381300000 is an apocalyptic number.

1381300000 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 1381300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

1381300000 is an abundant number, since it is smaller than the sum of its proper divisors (2201595680).

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

1381300000 is an frugal number, since it uses more digits than its factorization.

1381300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1381300000 is about 37165.8445350028. The cubic root of 1381300000 is about 1113.6857701504.

Adding to 1381300000 its reverse (31831), we get a palindrome (1381331831).

The spelling of 1381300000 in words is "one billion, three hundred eighty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 727 760 800 950 1000 1250 1454 1520 1900 2000 2375 2500 2908 3040 3125 3635 3800 4000 4750 5000 5816 6250 7270 7600 9500 10000 11632 11875 12500 13813 14540 15200 18175 19000 20000 23264 23750 25000 27626 29080 36350 38000 47500 50000 55252 58160 59375 69065 72700 76000 90875 95000 100000 110504 116320 118750 138130 145400 181750 190000 221008 237500 276260 290800 345325 363500 380000 442016 454375 475000 552520 581600 690650 727000 908750 950000 1105040 1381300 1454000 1726625 1817500 1900000 2210080 2271875 2762600 2908000 3453250 3635000 4543750 5525200 6906500 7270000 8633125 9087500 11050400 13813000 14540000 17266250 18175000 27626000 34532500 36350000 43165625 55252000 69065000 72700000 86331250 138130000 172662500 276260000 345325000 690650000 1381300000