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122221430331 = 37111340699777
BaseRepresentation
bin111000111010011110…
…1110000011000111011
3102200110211011222000220
41301310331300120323
54000302141232311
6132051525231123
711554522005450
oct1616475603073
9380424158026
10122221430331
11479198a1660
121b82b8624a3
13b6aa4b01a0
145cb63a1827
1532a5007206
hex1c74f7063b

122221430331 has 32 divisors (see below), whose sum is σ = 218802006528. Its totient is φ = 58607677440.

The previous prime is 122221430323. The next prime is 122221430333. The reversal of 122221430331 is 133034122221.

It is not a de Polignac number, because 122221430331 - 23 = 122221430323 is a prime.

It is a super-2 number, since 2×1222214303312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122221430333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20346886 + ... + 20352891.

It is an arithmetic number, because the mean of its divisors is an integer number (6837562704).

Almost surely, 2122221430331 is an apocalyptic number.

122221430331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122221430331 is a deficient number, since it is larger than the sum of its proper divisors (96580576197).

122221430331 is a wasteful number, since it uses less digits than its factorization.

122221430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40699811.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122221430331 its reverse (133034122221), we get a palindrome (255255552552).

The spelling of 122221430331 in words is "one hundred twenty-two billion, two hundred twenty-one million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 40699777 122099331 284898439 447697547 529097101 854695317 1343092641 1587291303 3133882829 3703679707 5820068111 9401648487 11111039121 17460204333 40740476777 122221430331