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1316023100 = 225278322651
BaseRepresentation
bin100111001110000…
…1110101100111100
310101201022220022022
41032130032230330
510143400214400
6334330535312
744420004020
oct11634165474
93351286268
101316023100
116159516a7
12308897538
1317c8581c2
14c6ad2380
157a807b85
hex4e70eb3c

1316023100 has 72 divisors (see below), whose sum is σ = 3303205248. Its totient is φ = 445752000.

The previous prime is 1316023097. The next prime is 1316023109. The reversal of 1316023100 is 13206131.

It is a super-2 number, since 2×13160231002 = 3463833599467220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316023109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46775 + ... + 69425.

Almost surely, 21316023100 is an apocalyptic number.

1316023100 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 1316023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651602624).

1316023100 is an abundant number, since it is smaller than the sum of its proper divisors (1987182148).

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

1316023100 is a wasteful number, since it uses less digits than its factorization.

1316023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1316023100 is about 36277.0326790933. The cubic root of 1316023100 is about 1095.8585595000.

Adding to 1316023100 its reverse (13206131), we get a palindrome (1329229231).

The spelling of 1316023100 in words is "one billion, three hundred sixteen million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 22651 29050 45302 58100 90604 113255 158557 226510 317114 453020 566275 634228 792785 1132550 1585570 1880033 2265100 3171140 3760066 3963925 7520132 7927850 9400165 13160231 15855700 18800330 26320462 37600660 47000825 52640924 65801155 94001650 131602310 188003300 263204620 329005775 658011550 1316023100