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1001030000110 = 257211335920177
BaseRepresentation
bin11101001000100100000…
…10011001110111101110
310112200211111112212000021
432210102002121313232
5112400102140000420
62043511122552354
7132215312415550
oct16442202316756
93480744485007
101001030000110
1135659737a258
1214200ab086ba
13735207aaa6a
14366431634d0
151b08bdc17aa
hexe912099dee

1001030000110 has 64 divisors (see below), whose sum is σ = 2069739786240. Its totient is φ = 341465080320.

The previous prime is 1001030000083. The next prime is 1001030000119. The reversal of 1001030000110 is 110000301001.

It is a happy number.

1001030000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010300001102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1001030000093 and 1001030000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001030000119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49602342 + ... + 49622518.

It is an arithmetic number, because the mean of its divisors is an integer number (32339684160).

Almost surely, 21001030000110 is an apocalyptic number.

1001030000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001030000110 is an abundant number, since it is smaller than the sum of its proper divisors (1068709786130).

1001030000110 is a wasteful number, since it uses less digits than its factorization.

1001030000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23761.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1001030000110 its reverse (110000301001), we get a palindrome (1111030301111).

The spelling of 1001030000110 in words is "one trillion, one billion, thirty million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 211 422 1055 1477 2110 2954 3359 6718 7385 14770 16795 20177 23513 33590 40354 47026 100885 117565 141239 201770 235130 282478 706195 708749 1412390 1417498 3543745 4257347 4961243 7087490 8514694 9922486 21286735 24806215 29801429 42573470 49612430 59602858 67774543 135549086 149007145 298014290 338872715 474421801 677745430 948843602 2372109005 4744218010 14300428573 28600857146 71502142865 100103000011 143004285730 200206000022 500515000055 1001030000110