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6306101340 = 22357112124087
BaseRepresentation
bin1011101111101111…
…10111100001011100
3121021111001010202220
411313313313201130
5100403330220330
62521425345340
7312161656050
oct56767674134
917244033686
106306101340
1127466a2300
12127ba98250
13796621a16
1443b72dc60
1526d94e710
hex177df785c

6306101340 has 144 divisors (see below), whose sum is σ = 22180978176. Its totient is φ = 1310348160.

The previous prime is 6306101339. The next prime is 6306101353. The reversal of 6306101340 is 431016036.

It is a super-2 number, since 2×63061013402 = 79533828220699591200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6306101340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11224 + ... + 112863.

Almost surely, 26306101340 is an apocalyptic number.

6306101340 is a gapful number since it is divisible by the number (60) 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 6306101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090489088).

6306101340 is an abundant number, since it is smaller than the sum of its proper divisors (15874876836).

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

6306101340 is a wasteful number, since it uses less digits than its factorization.

6306101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124128 (or 124115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6306101340 is about 79410.9648600242. The cubic root of 6306101340 is about 1847.5107832006.

Adding to 6306101340 its reverse (431016036), we get a palindrome (6737117376).

The spelling of 6306101340 in words is "six billion, three hundred six million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 124087 248174 372261 496348 620435 744522 868609 1240870 1364957 1489044 1737218 1861305 2481740 2605827 2729914 3474436 3722610 4094871 4343045 5211654 5459828 6824785 7445220 8189742 8686090 9554699 10423308 13029135 13649570 15014527 16379484 17372180 19109398 20474355 26058270 27299140 28664097 30029054 38218796 40948710 45043581 47773495 52116540 57328194 60058108 75072635 81897420 90087162 95546990 105101689 114656388 143320485 150145270 180174324 191093980 210203378 225217905 286640970 300290540 315305067 420406756 450435810 525508445 573281940 630610134 900871620 1051016890 1261220268 1576525335 2102033780 3153050670 6306101340