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122011111010 = 2529267321557
BaseRepresentation
bin111000110100001101…
…1011100111001100010
3102122221011102122011102
41301220123130321202
53444334321023020
6132015013314402
711546356221545
oct1615033347142
9378834378142
10122011111010
1147821100638
121b791335a02
13b675a51b99
145c9649485c
153291810475
hex1c686dce62

122011111010 has 48 divisors (see below), whose sum is σ = 227802782376. Its totient is φ = 47049332736.

The previous prime is 122011110989. The next prime is 122011111051. The reversal of 122011111010 is 10111110221.

It can be written as a sum of positive squares in 12 ways, for example, as 75359761 + 121935751249 = 8681^2 + 349193^2 .

It is a super-2 number, since 2×1220111110102 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122011110982 and 122011111000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5649152 + ... + 5670708.

Almost surely, 2122011111010 is an apocalyptic number.

122011111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122011111010 is a deficient number, since it is larger than the sum of its proper divisors (105791671366).

122011111010 is a wasteful number, since it uses less digits than its factorization.

122011111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22295 (or 22266 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 122011111010 its reverse (10111110221), we get a palindrome (132122221231).

It can be divided in two parts, 12201 and 1111010, that added together give a palindrome (1123211).

The spelling of 122011111010 in words is "one hundred twenty-two billion, eleven million, one hundred eleven thousand, ten".

Divisors: 1 2 5 10 29 58 145 290 673 841 1346 1682 3365 4205 6730 8410 19517 21557 39034 43114 97585 107785 195170 215570 565993 625153 1131986 1250306 2829965 3125765 5659930 6251530 14507861 18129437 29015722 36258874 72539305 90647185 145078610 181294370 420727969 841455938 2103639845 4207279690 12201111101 24402222202 61005555505 122011111010