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122102210010 = 235113799110091
BaseRepresentation
bin111000110110111011…
…0111101110111011010
3102200011111211221111110
41301231312331313122
54000031131210020
6132032030041150
711551543442364
oct1615566756732
9380144757443
10122102210010
1147868572670
121b7b79491b6
13b68b89a111
145ca4609d34
1532998078e0
hex1c6ddbddda

122102210010 has 128 divisors (see below), whose sum is σ = 328689819648. Its totient is φ = 28768608000.

The previous prime is 122102209979. The next prime is 122102210011. The reversal of 122102210010 is 10012201221.

It is a super-2 number, since 2×1221022100102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122102210011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095065 + ... + 12105155.

It is an arithmetic number, because the mean of its divisors is an integer number (2567889216).

Almost surely, 2122102210010 is an apocalyptic number.

122102210010 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 122102210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164344909824).

122102210010 is an abundant number, since it is smaller than the sum of its proper divisors (206587609638).

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

122102210010 is a wasteful number, since it uses less digits than its factorization.

122102210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11140.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102210010 its reverse (10012201221), we get a palindrome (132114411231).

The spelling of 122102210010 in words is "one hundred twenty-two billion, one hundred two million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 991 1110 1221 1982 2035 2442 2973 4070 4955 5946 6105 9910 10091 10901 12210 14865 20182 21802 29730 30273 32703 36667 50455 54505 60546 65406 73334 100910 109010 110001 111001 151365 163515 183335 220002 222002 302730 327030 333003 366670 373367 403337 550005 555005 666006 746734 806674 1100010 1110010 1120101 1210011 1665015 1866835 2016685 2240202 2420022 3330030 3733670 4033370 4107037 5600505 6050055 8214074 10000181 11201010 12100110 12321111 20000362 20535185 24642222 30000543 41070370 50000905 60001086 61605555 100001810 110001991 123211110 150002715 220003982 300005430 330005973 370006697 550009955 660011946 740013394 1100019910 1110020091 1650029865 1850033485 2220040182 3300059730 3700066970 4070073667 5550100455 8140147334 11100200910 12210221001 20350368335 24420442002 40700736670 61051105005 122102210010