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122011100010 = 233517109243871
BaseRepresentation
bin111000110100001101…
…1011010001101101010
3102122221011102002002000
41301220123122031222
53444334320200020
6132015013151430
711546356144512
oct1615033321552
9378834362060
10122011100010
11478210a3348
121b79132b576
13b675a49b87
145c96490842
15329180c090
hex1c686da36a

122011100010 has 128 divisors (see below), whose sum is σ = 347663923200. Its totient is φ = 30341329920.

The previous prime is 122011100009. The next prime is 122011100011. The reversal of 122011100010 is 10001110221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122011100009) and next prime (122011100011).

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 = 122011099965 and 122011100001.

It is not an unprimeable number, because it can be changed into a prime (122011100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378375 + ... + 622245.

It is an arithmetic number, because the mean of its divisors is an integer number (2716124400).

Almost surely, 2122011100010 is an apocalyptic number.

122011100010 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 122011100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173831961600).

122011100010 is an abundant number, since it is smaller than the sum of its proper divisors (225652823190).

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

122011100010 is a wasteful number, since it uses less digits than its factorization.

122011100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244013 (or 244007 counting only the distinct ones).

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

Adding to 122011100010 its reverse (10001110221), we get a palindrome (132012210231).

The spelling of 122011100010 in words is "one hundred twenty-two billion, eleven million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 109 135 153 170 218 255 270 306 327 459 510 545 654 765 918 981 1090 1530 1635 1853 1962 2295 2943 3270 3706 4590 4905 5559 5886 9265 9810 11118 14715 16677 18530 27795 29430 33354 50031 55590 83385 100062 166770 243871 250155 487742 500310 731613 1219355 1463226 2194839 2438710 3658065 4145807 4389678 6584517 7316130 8291614 10974195 12437421 13169034 20729035 21948390 24874842 26581939 32922585 37312263 41458070 53163878 62187105 65845170 74624526 79745817 111936789 124374210 132909695 159491634 186561315 223873578 239237451 265819390 373122630 398729085 451892963 478474902 559683945 717712353 797458170 903785926 1119367890 1196187255 1355678889 1435424706 2259464815 2392374510 2711357778 3588561765 4067036667 4518929630 6778394445 7177123530 8134073334 12201110001 13556788890 20335183335 24402220002 40670366670 61005550005 122011100010