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1000001212110 = 233523239673769
BaseRepresentation
bin11101000110101001011…
…01111000111011001110
310112121011210201000012000
432203110231320323032
5112341000302241420
62043221052253130
7132150651024615
oct16432455707316
93477153630160
101000001212110
1135610968363a
121419824711a6
13733b8601474
143658668087c
151b02b905690
hexe8d4b78ece

1000001212110 has 128 divisors (see below), whose sum is σ = 2794258944000. Its totient is φ = 254005145856.

The previous prime is 1000001212103. The next prime is 1000001212157. The reversal of 1000001212110 is 112121000001.

It is a happy number.

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 = 1000001212092 and 1000001212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147306 + ... + 1821074.

It is an arithmetic number, because the mean of its divisors is an integer number (21830148000).

Almost surely, 21000001212110 is an apocalyptic number.

1000001212110 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 1000001212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397129472000).

1000001212110 is an abundant number, since it is smaller than the sum of its proper divisors (1794257731890).

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

1000001212110 is a wasteful number, since it uses less digits than its factorization.

1000001212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674047 (or 674041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000001212110 its reverse (112121000001), we get a palindrome (1112122212111).

The spelling of 1000001212110 in words is "one trillion, one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 239 270 345 414 478 621 690 717 1035 1195 1242 1434 2070 2151 2390 3105 3585 4302 5497 6210 6453 7170 10755 10994 12906 16491 21510 27485 32265 32982 49473 54970 64530 82455 98946 148419 164910 247365 296838 494730 673769 742095 1347538 1484190 2021307 3368845 4042614 6063921 6737690 10106535 12127842 15496687 18191763 20213070 30319605 30993374 36383526 46490061 60639210 77483435 90958815 92980122 139470183 154966870 161030791 181917630 232450305 278940366 322061582 418410549 464900610 483092373 697350915 805153955 836821098 966184746 1394701830 1449277119 1610307910 2092052745 2415461865 2898554238 3703708193 4184105490 4347831357 4830923730 7246385595 7407416386 8695662714 11111124579 14492771190 18518540965 21739156785 22222249158 33333373737 37037081930 43478313570 55555622895 66666747474 100000121211 111111245790 166666868685 200000242422 333333737370 500000606055 1000001212110