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10301200110 = 23653534003
BaseRepresentation
bin10011001011111111…
…11101011011101110
3222120220112012000000
421211333331123232
5132044101400420
64422102245130
7513162520245
oct114577753356
928526465000
1010301200110
114406839123
121bb5a267a6
13c822185a6
146da16995c
15404557690
hex265ffd6ee

10301200110 has 112 divisors (see below), whose sum is σ = 27886242384. Its totient is φ = 2738520576.

The previous prime is 10301200093. The next prime is 10301200121. The reversal of 10301200110 is 1100210301.

It is a super-2 number, since 2×103012001102 (a number of 21 digits) contains 22 as substring.

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 = 10301200092 and 10301200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2571369 + ... + 2575371.

It is an arithmetic number, because the mean of its divisors is an integer number (248984307).

Almost surely, 210301200110 is an apocalyptic number.

10301200110 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 10301200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943121192).

10301200110 is an abundant number, since it is smaller than the sum of its proper divisors (17585042274).

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

10301200110 is an equidigital number, since it uses as much as digits as its factorization.

10301200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10301200110 its reverse (1100210301), we get a palindrome (11401410411).

The spelling of 10301200110 in words is "ten billion, three hundred one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 353 405 486 706 729 810 1059 1215 1458 1765 2118 2430 3177 3530 3645 4003 5295 6354 7290 8006 9531 10590 12009 15885 19062 20015 24018 28593 31770 36027 40030 47655 57186 60045 72054 85779 95310 108081 120090 142965 171558 180135 216162 257337 285930 324243 360270 428895 514674 540405 648486 857790 972729 1080810 1286685 1413059 1621215 1945458 2573370 2826118 2918187 3242430 4239177 4863645 5836374 7065295 8478354 9727290 12717531 14130590 14590935 21195885 25435062 29181870 38152593 42391770 63587655 76305186 114457779 127175310 190762965 228915558 343373337 381525930 572288895 686746674 1030120011 1144577790 1716866685 2060240022 3433733370 5150600055 10301200110