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122440440343 = 13243120114029
BaseRepresentation
bin111001000001000000…
…1001101101000010111
3102201001002021211021211
41302002001031220113
54001224223042333
6132125351322251
711563121366554
oct1620201155027
9381032254254
10122440440343
1147a21489071
121b891080387
13b713992100
145cd74d1a2b
1532b9368ecd
hex1c8204da17

122440440343 has 24 divisors (see below), whose sum is σ = 135789411120. Its totient is φ = 110293747200.

The previous prime is 122440440337. The next prime is 122440440347. The reversal of 122440440343 is 343044044221.

It is a de Polignac number, because none of the positive numbers 2k-122440440343 is a prime.

It is a super-2 number, since 2×1224404403432 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122440440347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8720653 + ... + 8734681.

It is an arithmetic number, because the mean of its divisors is an integer number (5657892130).

Almost surely, 2122440440343 is an apocalyptic number.

122440440343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

122440440343 is a deficient number, since it is larger than the sum of its proper divisors (13348970777).

122440440343 is a wasteful number, since it uses less digits than its factorization.

122440440343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 122440440343 its reverse (343044044221), we get a palindrome (465484484564).

The spelling of 122440440343 in words is "one hundred twenty-two billion, four hundred forty million, four hundred forty thousand, three hundred forty-three".

Divisors: 1 13 43 169 559 1201 7267 14029 15613 51643 182377 202969 603247 671359 2370901 7842211 8727667 16848829 101948743 219034777 724499647 2847452101 9418495411 122440440343