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1001011000110 = 2351150920832861
BaseRepresentation
bin11101001000100001110…
…01111011001100101110
310112200210011210112220120
432210100321323030232
5112400032304000420
62043505203425410
7132214662053142
oct16442071731456
93480704715816
101001011000110
11356587682280
12142004685266
1373519887864
1436640819222
151b08a3bbd40
hexe910e7b32e

1001011000110 has 128 divisors (see below), whose sum is σ = 2628156741120. Its totient is φ = 241991692800.

The previous prime is 1001011000013. The next prime is 1001011000123. The reversal of 1001011000110 is 110001101001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349880080 + ... + 349882940.

It is an arithmetic number, because the mean of its divisors is an integer number (20532474540).

Almost surely, 21001011000110 is an apocalyptic number.

1001011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001011000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314078370560).

1001011000110 is an abundant number, since it is smaller than the sum of its proper divisors (1627145741010).

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

1001011000110 is a wasteful number, since it uses less digits than its factorization.

1001011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001011000110 its reverse (110001101001), we get a palindrome (1111012101111).

The spelling of 1001011000110 in words is "one trillion, one billion, eleven million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 509 1018 1527 2083 2545 2861 3054 4166 5090 5599 5722 6249 7635 8583 10415 11198 12498 14305 15270 16797 17166 20830 22913 27995 28610 31245 31471 33594 42915 45826 55990 62490 62942 68739 83985 85830 94413 114565 137478 157355 167970 188826 229130 314710 343695 472065 687390 944130 1060247 1456249 2120494 2912498 3180741 4368747 5301235 5959463 6361482 7281245 8737494 10602470 11662717 11918926 14562490 15903705 16018739 17878389 21843735 23325434 29797315 31807410 32037478 34988151 35756778 43687470 48056217 58313585 59594630 65554093 69976302 80093695 89391945 96112434 116627170 131108186 160187390 174940755 178783890 196662279 240281085 327770465 349881510 393324558 480562170 655540930 983311395 1966622790 3033366667 6066733334 9100100001 15166833335 18200200002 30333666670 33367033337 45500500005 66734066674 91001000010 100101100011 166835166685 200202200022 333670333370 500505500055 1001011000110