Search a number
-
+
10012110101010 = 2335137327007931
BaseRepresentation
bin1001000110110010000001…
…0001000001101000010010
31022110011000011112010101000
42101230200101001220102
52303014300141213020
633143255550322430
72052231264453243
oct221544021015022
938404004463330
1010012110101010
113210126156166
1211584b74b9416
135781a405c374
1426883560acca
151256881b1090
hex91b20441a12

10012110101010 has 64 divisors (see below), whose sum is σ = 26718406968960. Its totient is φ = 2667951357120.

The previous prime is 10012110101003. The next prime is 10012110101023. The reversal of 10012110101010 is 1010101121001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012110100983 and 10012110101001.

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, 13133256 + ... + 13874675.

It is an arithmetic number, because the mean of its divisors is an integer number (417475108890).

Almost surely, 210012110101010 is an apocalyptic number.

10012110101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012110101010 is an abundant number, since it is smaller than the sum of its proper divisors (16706296867950).

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

10012110101010 is a wasteful number, since it uses less digits than its factorization.

10012110101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27009320 (or 27009314 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10012110101010 its reverse (1010101121001), we get a palindrome (11022211222011).

The spelling of 10012110101010 in words is "ten trillion, twelve billion, one hundred ten million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1373 2746 4119 6865 8238 12357 13730 20595 24714 37071 41190 61785 74142 123570 185355 370710 27007931 54015862 81023793 135039655 162047586 243071379 270079310 405118965 486142758 729214137 810237930 1215356895 1458428274 2430713790 3646070685 7292141370 37081889263 74163778526 111245667789 185409446315 222491335578 333737003367 370818892630 556228338945 667474006734 1001211010101 1112456677890 1668685016835 2002422020202 3337370033670 5006055050505 10012110101010