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13122314021424 = 2433125734314239
BaseRepresentation
bin1011111011110100011011…
…0111011010101000110000
31201110110222121220121102010
42332331012313122220300
53204443444342141144
643524150254322520
72523025113544056
oct276750667325060
951413877817363
1013122314021424
1141aa162192413
12157b2384b9440
137425763b6a1a
143351a280a1d6
1517b51c87d5b9
hexbef46ddaa30

13122314021424 has 80 divisors (see below), whose sum is σ = 35128997314560. Its totient is φ = 4216533565440.

The previous prime is 13122314021387. The next prime is 13122314021441. The reversal of 13122314021424 is 42412041322131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13122314021391 and 13122314021400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16774704 + ... + 17539535.

It is an arithmetic number, because the mean of its divisors is an integer number (439112466432).

Almost surely, 213122314021424 is an apocalyptic number.

It is an amenable number.

13122314021424 is an abundant number, since it is smaller than the sum of its proper divisors (22006683293136).

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

13122314021424 is a wasteful number, since it uses less digits than its factorization.

13122314021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314538 (or 34314532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13122314021424 its reverse (42412041322131), we get a palindrome (55534355343555).

The spelling of 13122314021424 in words is "thirteen trillion, one hundred twenty-two billion, three hundred fourteen million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 257 372 496 514 744 771 1028 1488 1542 2056 3084 4112 6168 7967 12336 15934 23901 31868 47802 63736 95604 127472 191208 382416 34314239 68628478 102942717 137256956 205885434 274513912 411770868 549027824 823541736 1063741409 1647083472 2127482818 3191224227 4254965636 6382448454 8509931272 8818759423 12764896908 17019862544 17637518846 25529793816 26456278269 35275037692 51059587632 52912556538 70550075384 105825113076 141100150768 211650226152 273381542113 423300452304 546763084226 820144626339 1093526168452 1640289252678 2187052336904 3280578505356 4374104673808 6561157010712 13122314021424