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10101111000010 = 2529329333117529
BaseRepresentation
bin1001001011111101100100…
…1000100000101111001010
31022202122201210102020120121
42102333121020200233022
52310444033404000020
633252215240413454
72061531642562012
oct222773110405712
938678653366517
1010101111000010
113244947907948
1211717b577728a
135836b8b9a704
1426cc79952c42
15127b46987baa
hex92fd9220bca

10101111000010 has 32 divisors (see below), whose sum is σ = 18244831605840. Its totient is φ = 4026482953728.

The previous prime is 10101110999843. The next prime is 10101111000023. The reversal of 10101111000010 is 1000011110101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8668955487481 + 1432155512529 = 2944309^2 + 1196727^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10101110999957 and 10101111000002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85886926 + ... + 86004454.

Almost surely, 210101111000010 is an apocalyptic number.

10101111000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101111000010 is a deficient number, since it is larger than the sum of its proper divisors (8143720605830).

10101111000010 is a wasteful number, since it uses less digits than its factorization.

10101111000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147162.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101111000010 its reverse (1000011110101), we get a palindrome (11101122110111).

It can be divided in two parts, 10101 and 111000010, that added together give a palindrome (111010111).

The spelling of 10101111000010 in words is "ten trillion, one hundred one billion, one hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 5 10 293 586 1465 2930 29333 58666 117529 146665 235058 293330 587645 1175290 8594569 17189138 34435997 42972845 68871994 85945690 172179985 344359970 3447478157 6894956314 17237390785 34474781570 1010111100001 2020222200002 5050555500005 10101111000010