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1012002100110 = 2325593117116193
BaseRepresentation
bin11101011101000000000…
…01101001001110001110
310120202011011111021122100
432232200001221032032
5113040040014200420
62052523553055530
7133054232630361
oct16564001511616
93522134437570
101012002100110
113602078913a1
121441715575a6
137457b9b7221
1436da44500d8
151b4d029e190
hexeba006938e

1012002100110 has 96 divisors (see below), whose sum is σ = 2638056234528. Its totient is φ = 269165445120.

The previous prime is 1012002100103. The next prime is 1012002100183. The reversal of 1012002100110 is 110012002101.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012002100092 and 1012002100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62488174 + ... + 62504366.

It is an arithmetic number, because the mean of its divisors is an integer number (27479752443).

Almost surely, 21012002100110 is an apocalyptic number.

1012002100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012002100110 is an abundant number, since it is smaller than the sum of its proper divisors (1626054134418).

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

1012002100110 is a wasteful number, since it uses less digits than its factorization.

1012002100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012002100110 its reverse (110012002101), we get a palindrome (1122014102211).

The spelling of 1012002100110 in words is "one trillion, twelve billion, two million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 593 1171 1186 1779 2342 2965 3513 3558 5337 5855 5930 7026 8895 10539 10674 11710 16193 17565 17790 21078 26685 32386 35130 48579 52695 53370 80965 97158 105390 145737 161930 242895 291474 485790 694403 728685 1388806 1457370 2083209 3472015 4166418 6249627 6944030 9602449 10416045 12499254 18962003 19204898 20832090 28807347 31248135 37924006 48012245 56886009 57614694 62496270 86422041 94810015 96024490 113772018 144036735 170658027 172844082 189620030 284430045 288073470 341316054 432110205 568860090 853290135 864220410 1706580270 11244467779 22488935558 33733403337 56222338895 67466806674 101200210011 112444677790 168667016685 202400420022 337334033370 506001050055 1012002100110