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3420122112424 = 23172916340113267
BaseRepresentation
bin110001110001001111001…
…010011110000110101000
3110002221221012010212110001
4301301033022132012220
5422013402230044144
611135103222232344
7502044546201643
oct61611712360650
913087835125401
103420122112424
1110a9513851a56
12472a13b856b4
131ba692c2c434
14bb76b68aa5a
155de72979bd4
hex31c4f29e1a8

3420122112424 has 128 divisors (see below), whose sum is σ = 7085334902400. Its totient is φ = 1540469145600.

The previous prime is 3420122112403. The next prime is 3420122112427. The reversal of 3420122112424 is 4242112210243.

It is a junction number, because it is equal to n+sod(n) for n = 3420122112392 and 3420122112401.

It is not an unprimeable number, because it can be changed into a prime (3420122112427) 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, 257785039 + ... + 257798305.

It is an arithmetic number, because the mean of its divisors is an integer number (55354178925).

Almost surely, 23420122112424 is an apocalyptic number.

3420122112424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3420122112424 is an abundant number, since it is smaller than the sum of its proper divisors (3665212789976).

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

3420122112424 is a wasteful number, since it uses less digits than its factorization.

3420122112424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13883 (or 13879 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 3420122112424 its reverse (4242112210243), we get a palindrome (7662234322667).

The spelling of 3420122112424 in words is "three trillion, four hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 163 232 326 401 493 652 802 986 1304 1604 1972 2771 3208 3944 4727 5542 6817 9454 11084 11629 13267 13634 18908 22168 23258 26534 27268 37816 46516 53068 54536 65363 80359 93032 106136 130726 160718 197693 225539 261452 321436 384743 395386 451078 522904 642872 769486 790772 902156 1111171 1538972 1581544 1804312 1895527 2162521 2222342 3077944 3791054 4325042 4444684 5320067 6540631 7582108 8650084 8889368 10640134 13081262 15164216 17300168 21280268 26162524 32223959 36762857 42560536 52325048 62713109 64447918 73525714 90441139 125426218 128895836 147051428 154281943 180882278 250852436 257791672 294102856 308563886 361764556 501704872 617127772 723529112 867170921 1066122853 1234255544 1734341842 2132245706 2622793031 3468683684 4264491412 5245586062 6937367368 8528982824 10491172124 14741905657 20982344248 25147956709 29483811314 50295913418 58967622628 100591826836 117935245256 201183653672 427515264053 855030528106 1710061056212 3420122112424