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2661143100 = 22352711115201
BaseRepresentation
bin1001111010011101…
…1101001000111100
320212110102002001120
42132213131020330
520422223034400
61120021310540
7122642225460
oct23647351074
96773362046
102661143100
111146167220
12623265450
133354302b5
141b35da4a0
1510895bca0
hex9e9dd23c

2661143100 has 144 divisors (see below), whose sum is σ = 9599552256. Its totient is φ = 552960000.

The previous prime is 2661143099. The next prime is 2661143101. The reversal of 2661143100 is 13411662.

2661143100 = 182352 + 182362 + ... + 182422.

It is an interprime number because it is at equal distance from previous prime (2661143099) and next prime (2661143101).

It is a super-2 number, since 2×26611431002 = 14163365197355220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661143101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34501 + ... + 80700.

Almost surely, 22661143100 is an apocalyptic number.

2661143100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661143100 is an abundant number, since it is smaller than the sum of its proper divisors (6938409156).

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

2661143100 is a wasteful number, since it uses less digits than its factorization.

2661143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115236 (or 115229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2661143100 is about 51586.2685217685. The cubic root of 2661143100 is about 1385.7644300617.

Adding to 2661143100 its reverse (13411662), we get a palindrome (2674554762).

The spelling of 2661143100 in words is "two billion, six hundred sixty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 115201 230402 345603 460804 576005 691206 806407 1152010 1267211 1382412 1612814 1728015 2304020 2419221 2534422 2880025 3225628 3456030 3801633 4032035 4838442 5068844 5760050 6336055 6912060 7603266 8064070 8640075 8870477 9676884 11520100 12096105 12672110 15206532 16128140 17280150 17740954 19008165 20160175 24192210 25344220 26611431 31680275 34560300 35481908 38016330 40320350 44352385 48384420 53222862 60480525 63360550 76032660 80640700 88704770 95040825 106445724 120961050 126721100 133057155 177409540 190081650 221761925 241922100 266114310 380163300 443523850 532228620 665285775 887047700 1330571550 2661143100