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1011100022010 = 232513864188053
BaseRepresentation
bin11101011011010100100…
…00011111010011111010
310120122211022001222010100
432231222100133103322
5113031213101201020
62052254250300230
7133023000245151
oct16555220372372
93518738058110
101011100022010
1135a89466a801
12143b5b427676
1374466b439c0
1436d1a712598
151b47aeb1a90
hexeb6a41f4fa

1011100022010 has 48 divisors (see below), whose sum is σ = 2831080064904. Its totient is φ = 248886158976.

The previous prime is 1011100021993. The next prime is 1011100022057. The reversal of 1011100022010 is 102200011101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 432607437441 + 578492584569 = 657729^2 + 760587^2 .

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 = 1011100021983 and 1011100022001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432092857 + ... + 432095196.

Almost surely, 21011100022010 is an apocalyptic number.

1011100022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011100022010 is an abundant number, since it is smaller than the sum of its proper divisors (1819980042894).

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

1011100022010 is a wasteful number, since it uses less digits than its factorization.

1011100022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864188079 (or 864188076 counting only the distinct ones).

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

Adding to 1011100022010 its reverse (102200011101), we get a palindrome (1113300033111).

The spelling of 1011100022010 in words is "one trillion, eleven billion, one hundred million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 864188053 1728376106 2592564159 4320940265 5185128318 7777692477 8641880530 11234444689 12962820795 15555384954 22468889378 25925641590 33703334067 38888462385 56172223445 67406668134 77776924770 101110002201 112344446890 168516670335 202220004402 337033340670 505550011005 1011100022010