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124304414013 = 321321033172503
BaseRepresentation
bin111001111000100011…
…1101101010100111101
3102212211222200111110200
41303301013231110331
54014033412222023
6133034334554113
711660244041253
oct1636107552475
9385758614420
10124304414013
114879866807a
1220111368939
13b94cbc0a00
146032c9c5d3
153377d0c743
hex1cf11ed53d

124304414013 has 72 divisors (see below), whose sum is σ = 197010433152. Its totient is φ = 75483218304.

The previous prime is 124304413991. The next prime is 124304414023. The reversal of 124304414013 is 310414403421.

124304414013 is a `hidden beast` number, since 1 + 243 + 0 + 4 + 414 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 124304414013 - 26 = 124304413949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124304414023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49660920 + ... + 49663422.

It is an arithmetic number, because the mean of its divisors is an integer number (2736256016).

Almost surely, 2124304414013 is an apocalyptic number.

124304414013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

124304414013 is a deficient number, since it is larger than the sum of its proper divisors (72706019139).

124304414013 is a wasteful number, since it uses less digits than its factorization.

124304414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124304414013 its reverse (310414403421), we get a palindrome (434718817434).

The spelling of 124304414013 in words is "one hundred twenty-four billion, three hundred four million, four hundred fourteen thousand, thirteen".

Divisors: 1 3 9 13 39 103 117 169 309 317 507 927 951 1339 1521 2503 2853 4017 4121 7509 12051 12363 17407 22527 32539 32651 37089 52221 53573 97617 97953 156663 160719 257809 292851 293859 423007 424463 482157 773427 793451 1269021 1273389 2320281 2380353 3351517 3807063 3820167 5518019 7141059 10054551 10314863 16554057 30163653 30944589 43569721 49662171 81725453 92833767 130709163 134093219 245176359 392127489 402279657 735529077 1062430889 1206838971 3187292667 9561878001 13811601557 41434804671 124304414013