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134430330121300 = 2252191573307136273
BaseRepresentation
bin11110100100001110000000…
…000100101110110001010100
3122121222102011211202011100201
4132210032000010232301110
5120110001304002340200
61153524235135550244
740213161620326333
oct3644160004566124
9577872154664321
10134430330121300
1139919645842244
12130b15b968b384
135a0195859a095
14252a6698bdd1a
151081c94a34c6a
hex7a438012ec54

134430330121300 has 144 divisors (see below), whose sum is σ = 309118730482240. Its totient is φ = 50601870858240.

The previous prime is 134430330121289. The next prime is 134430330121397. The reversal of 134430330121300 is 3121033034431.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 986409964 + ... + 986546236.

Almost surely, 2134430330121300 is an apocalyptic number.

134430330121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134430330121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154559365241120).

134430330121300 is an abundant number, since it is smaller than the sum of its proper divisors (174688400360940).

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

134430330121300 is a wasteful number, since it uses less digits than its factorization.

134430330121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139770 (or 139763 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 134430330121300 its reverse (3121033034431), we get a palindrome (137551363155731).

The spelling of 134430330121300 in words is "one hundred thirty-four trillion, four hundred thirty billion, three hundred thirty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 157 190 314 380 475 628 785 950 1570 1900 2983 3140 3307 3925 5966 6614 7850 11932 13228 14915 15700 16535 29830 33070 59660 62833 66140 74575 82675 125666 136273 149150 165350 251332 272546 298300 314165 330700 519199 545092 628330 681365 1038398 1256660 1362730 1570825 2076796 2589187 2595995 2725460 3141650 3406825 5178374 5191990 6283300 6813650 9864781 10356748 10383980 12945935 12979975 13627300 19729562 21394861 25891870 25959950 39459124 42789722 49323905 51783740 51919900 64729675 85579444 98647810 106974305 129459350 197295620 213948610 246619525 258918700 406502359 427897220 450654811 493239050 534871525 813004718 901309622 986478100 1069743050 1626009436 1802619244 2032511795 2139486100 2253274055 4065023590 4506548110 8130047180 8562441409 9013096220 10162558975 11266370275 17124882818 20325117950 22532740550 34249765636 40650235900 42812207045 45065481100 70752805327 85624414090 141505610654 171248828180 214061035225 283011221308 353764026635 428122070450 707528053270 856244140900 1344303301213 1415056106540 1768820133175 2688606602426 3537640266350 5377213204852 6721516506065 7075280532700 13443033012130 26886066024260 33607582530325 67215165060650 134430330121300