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110011100000010 = 2351113919912051877
BaseRepresentation
bin11001000000110111110100…
…100010010110111100001010
3112102111221212201011012120120
4121000313310202112330022
5103404410213100000020
61025550222431204110
732113016420124606
oct3100676442267412
9472457781135516
10110011100000010
1132064499a6a520
1210408a7a976636
134950004b3c5c1
141d247cc202506
15cab993e56740
hex640df4896f0a

110011100000010 has 128 divisors (see below), whose sum is σ = 291559032576000. Its totient is φ = 26344436785920.

The previous prime is 110011099999993. The next prime is 110011100000023. The reversal of 110011100000010 is 10000001110011.

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

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, 3102192 + ... + 15154068.

It is an arithmetic number, because the mean of its divisors is an integer number (2277804942000).

Almost surely, 2110011100000010 is an apocalyptic number.

110011100000010 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 110011100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145779516288000).

110011100000010 is an abundant number, since it is smaller than the sum of its proper divisors (181547932575990).

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

110011100000010 is a wasteful number, since it uses less digits than its factorization.

110011100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12052236.

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

Adding to 110011100000010 its reverse (10000001110011), we get a palindrome (120011101110021).

The spelling of 110011100000010 in words is "one hundred ten trillion, eleven billion, one hundred million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 199 278 330 398 417 597 695 834 995 1194 1390 1529 1990 2085 2189 2985 3058 4170 4378 4587 5970 6567 7645 9174 10945 13134 15290 21890 22935 27661 32835 45870 55322 65670 82983 138305 165966 276610 304271 414915 608542 829830 912813 1521355 1825626 3042710 4564065 9128130 12051877 24103754 36155631 60259385 72311262 120518770 132570647 180778155 265141294 361556310 397711941 662853235 795423882 1325706470 1675210903 1988559705 2398323523 3350421806 3977119410 4796647046 5025632709 7194970569 8376054515 10051265418 11991617615 14389941138 16752109030 18427319933 23983235230 25128163545 26381558753 35974852845 36854639866 50256327090 52763117506 55281959799 71949705690 79144676259 92136599665 110563919598 131907793765 158289352518 184273199330 263815587530 276409798995 333366969697 395723381295 552819597990 666733939394 791446762590 1000100909091 1666834848485 2000201818182 3333669696970 3667036666667 5000504545455 7334073333334 10001009090910 11001110000001 18335183333335 22002220000002 36670366666670 55005550000005 110011100000010