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1316020000 = 2554292269
BaseRepresentation
bin100111001110000…
…1101111100100000
310101201022202001111
41032130031330200
510143400120000
6334330513104
744416662001
oct11634157440
93351282044
101316020000
1161594a339
12308895794
1317c856979
14c6ad11a8
157a806cba
hex4e70df20

1316020000 has 120 divisors (see below), whose sum is σ = 3350724300. Its totient is φ = 508032000.

The previous prime is 1316019973. The next prime is 1316020063. The reversal of 1316020000 is 206131.

It can be written as a sum of positive squares in 10 ways, for example, as 371564176 + 944455824 = 19276^2 + 30732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578866 + ... + 581134.

Almost surely, 21316020000 is an apocalyptic number.

1316020000 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 1316020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675362150).

1316020000 is an abundant number, since it is smaller than the sum of its proper divisors (2034704300).

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

1316020000 is an equidigital number, since it uses as much as digits as its factorization.

1316020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1316020000 is about 36276.9899523100. The cubic root of 1316020000 is about 1095.8576990378.

Adding to 1316020000 its reverse (206131), we get a palindrome (1316226131).

The spelling of 1316020000 in words is "one billion, three hundred sixteen million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2269 2320 2500 2900 3625 4000 4538 4640 5000 5800 7250 9076 10000 11345 11600 14500 18125 18152 20000 22690 23200 29000 36250 36304 45380 56725 58000 65801 72500 72608 90760 113450 116000 131602 145000 181520 226900 263204 283625 290000 329005 363040 453800 526408 567250 580000 658010 907600 1052816 1134500 1316020 1418125 1645025 1815200 2105632 2269000 2632040 2836250 3290050 4538000 5264080 5672500 6580100 8225125 9076000 10528160 11345000 13160200 16450250 22690000 26320400 32900500 41125625 45380000 52640800 65801000 82251250 131602000 164502500 263204000 329005000 658010000 1316020000