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122121464231 = 13171633390097
BaseRepresentation
bin111000110111100000…
…0011010100110100111
3102200012212002011022202
41301233000122212213
54000101043323411
6132033554445115
711552166214214
oct1615700324647
9380185064282
10122121464231
1147878423648
121b80229379b
13b69287bc50
145ca6dbcb0b
15329b35c83b
hex1c6f01a9a7

122121464231 has 16 divisors (see below), whose sum is σ = 140105970144. Its totient is φ = 105445545984.

The previous prime is 122121464209. The next prime is 122121464239. The reversal of 122121464231 is 132464121221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122121464231 - 210 = 122121463207 is a prime.

It is a super-2 number, since 2×1221214642312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122121464194 and 122121464203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121464239) 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 15 ways as a sum of consecutive naturals, for example, 1659026 + ... + 1731071.

It is an arithmetic number, because the mean of its divisors is an integer number (8756623134).

Almost surely, 2122121464231 is an apocalyptic number.

122121464231 is a deficient number, since it is larger than the sum of its proper divisors (17984505913).

122121464231 is a wasteful number, since it uses less digits than its factorization.

122121464231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390290.

The product of its digits is 4608, while the sum is 29.

Adding to 122121464231 its reverse (132464121221), we get a palindrome (254585585452).

The spelling of 122121464231 in words is "one hundred twenty-two billion, one hundred twenty-one million, four hundred sixty-four thousand, two hundred thirty-one".

Divisors: 1 13 17 163 221 2119 2771 36023 3390097 44071261 57631649 552585811 749211437 7183615543 9393958787 122121464231