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10011111101010 = 2385152585141
BaseRepresentation
bin1001000110101110010010…
…1110001001001001010010
31022110001102112201200000000
42101223210232021021102
52303010223420213020
633143012502310430
72052164444215635
oct221534456111122
938401375650000
1010011111101010
11320a763255728
121158278a28416
135780750b23c6
1426877ca7dc1c
1512562a62b090
hex91ae4b89252

10011111101010 has 72 divisors (see below), whose sum is σ = 27028626883596. Its totient is φ = 2669629609440.

The previous prime is 10011111100993. The next prime is 10011111101029. The reversal of 10011111101010 is 1010111111001.

It can be written as a sum of positive squares in 2 ways, for example, as 9933786507681 + 77324593329 = 3151791^2 + 278073^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10011111100983 and 10011111101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76226961 + ... + 76358180.

Almost surely, 210011111101010 is an apocalyptic number.

10011111101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011111101010 is an abundant number, since it is smaller than the sum of its proper divisors (17017515782586).

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

10011111101010 is an frugal number, since it uses more digits than its factorization.

10011111101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152585172 (or 152585151 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10011111101010 its reverse (1010111111001), we get a palindrome (11021222212011).

Subtracting from 10011111101010 its reverse (1010111111001), we obtain a palindrome (9000999990009).

The spelling of 10011111101010 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 6561 7290 10935 13122 21870 32805 65610 152585141 305170282 457755423 762925705 915510846 1373266269 1525851410 2288777115 2746532538 4119798807 4577554230 6866331345 8239597614 12359396421 13732662690 20598994035 24718792842 37078189263 41197988070 61796982105 74156378526 111234567789 123593964210 185390946315 222469135578 333703703367 370781892630 556172838945 667407406734 1001111110101 1112345677890 1668518516835 2002222220202 3337037033670 5005555550505 10011111101010