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10101011101110 = 23253712703238789
BaseRepresentation
bin1001001011111101001100…
…1011011011010110110110
31022202122110211102212001100
42102333103023123112312
52310443332320213420
633252201311310530
72061526320500406
oct222772313332666
938678424385040
1010101011101110
1132448a6485376
12117178821b446
135836a1290c37
1426cc6a58a806
15127b3cd03190
hex92fd32db5b6

10101011101110 has 96 divisors (see below), whose sum is σ = 26974665918720. Its totient is φ = 2620585592064.

The previous prime is 10101011101099. The next prime is 10101011101127. The reversal of 10101011101110 is 1110111010101.

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

10101011101110 is a modest number, since divided by 11101110 gives 101010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10101011101092 and 10101011101101.

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, 42181596 + ... + 42420384.

It is an arithmetic number, because the mean of its divisors is an integer number (280986103320).

Almost surely, 210101011101110 is an apocalyptic number.

10101011101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101011101110 is an abundant number, since it is smaller than the sum of its proper divisors (16873654817610).

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

10101011101110 is a wasteful number, since it uses less digits than its factorization.

10101011101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251542 (or 251539 counting only the distinct ones).

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

Adding to 10101011101110 its reverse (1110111010101), we get a palindrome (11211122111211).

The spelling of 10101011101110 in words is "ten trillion, one hundred one billion, eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 12703 25406 38109 63515 76218 114327 127030 190545 228654 238789 381090 470011 477578 571635 716367 940022 1143270 1193945 1410033 1432734 2149101 2350055 2387890 2820066 3581835 4230099 4298202 4700110 7050165 7163670 8460198 8835193 10745505 14100330 17670386 21150495 21491010 26505579 42300990 44175965 53011158 79516737 88351930 132527895 159033474 265055790 397583685 795167370 3033336667 6066673334 9100010001 15166683335 18200020002 27300030003 30333366670 45500050005 54600060006 91000100010 112233456679 136500150015 224466913358 273000300030 336700370037 561167283395 673400740074 1010101110111 1122334566790 1683501850185 2020202220222 3367003700370 5050505550555 10101011101110