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1012113132200 = 235217924132213
BaseRepresentation
bin11101011101001101010…
…01001100101010101000
310120202102220102022000222
432232212221030222220
5113040301430212300
62052543000545212
7133060051451162
oct16564651145250
93522386368028
101012113132200
11360264528455
121441a2782208
13745989c12a1
1436db50b3932
151b4d9dd2785
hexeba6a4caa8

1012113132200 has 96 divisors (see below), whose sum is σ = 2491931365560. Its totient is φ = 380977766400.

The previous prime is 1012113132187. The next prime is 1012113132257. The reversal of 1012113132200 is 22313112101.

1012113132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 719758804996 + 292354327204 = 848386^2 + 540698^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31403294 + ... + 31435506.

Almost surely, 21012113132200 is an apocalyptic number.

1012113132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012113132200 is an abundant number, since it is smaller than the sum of its proper divisors (1479818233360).

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

1012113132200 is a wasteful number, since it uses less digits than its factorization.

1012113132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41487 (or 41478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1012113132200 its reverse (22313112101), we get a palindrome (1034426244301).

The spelling of 1012113132200 in words is "one trillion, twelve billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 9241 18482 32213 36964 46205 64426 73928 92410 128852 157097 161065 184820 231025 257704 314194 322130 369640 462050 547621 628388 644260 785485 805325 924100 1095242 1256776 1288520 1570970 1610650 1848200 2190484 2738105 3141940 3221300 3927425 4380968 5476210 6283880 6442600 7854850 10952420 13690525 15709700 21904840 27381050 31419400 54762100 109524200 297680333 595360666 1190721332 1488401665 2381442664 2976803330 5060565661 5953606660 7442008325 10121131322 11907213320 14884016650 20242262644 25302828305 29768033300 40484525288 50605656610 59536066600 101211313220 126514141525 202422626440 253028283050 506056566100 1012113132200