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2314263301320 = 2335277409170227
BaseRepresentation
bin100001101011010100110…
…101111000110011001000
322012020111222200122210110
4201223110311320303020
5300404102401120240
64531054034114320
7326125413330315
oct41532465706310
98166458618713
102314263301320
11812523334513
1231462a11b9a0
1313a3073c0939
1480022047d0c
15402ec97ec80
hex21ad4d78cc8

2314263301320 has 128 divisors (see below), whose sum is σ = 6984931478400. Its totient is φ = 613401901056.

The previous prime is 2314263301319. The next prime is 2314263301327. The reversal of 2314263301320 is 231033624132.

It is a super-2 number, since 2×23142633013202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2314263301327) 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, 13510047 + ... + 13680273.

It is an arithmetic number, because the mean of its divisors is an integer number (54569777175).

Almost surely, 22314263301320 is an apocalyptic number.

2314263301320 is a gapful number since it is divisible by the number (20) 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 2314263301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492465739200).

2314263301320 is an abundant number, since it is smaller than the sum of its proper divisors (4670668177080).

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

2314263301320 is a wasteful number, since it uses less digits than its factorization.

2314263301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170927 (or 170923 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2314263301320 its reverse (231033624132), we get a palindrome (2545296925452).

The spelling of 2314263301320 in words is "two trillion, three hundred fourteen billion, two hundred sixty-three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 409 554 818 831 1108 1227 1385 1636 1662 2045 2216 2454 2770 3272 3324 4090 4155 4908 5540 6135 6648 8180 8310 9816 11080 12270 16360 16620 24540 33240 49080 113293 170227 226586 339879 340454 453172 510681 566465 679758 680908 851135 906344 1021362 1132930 1359516 1361816 1699395 1702270 2042724 2265860 2553405 2719032 3398790 3404540 4085448 4531720 5106810 6797580 6809080 10213620 13595160 20427240 47152879 69622843 94305758 139245686 141458637 188611516 208868529 235764395 278491372 282917274 348114215 377223032 417737058 471528790 556982744 565834548 696228430 707293185 835474116 943057580 1044342645 1131669096 1392456860 1414586370 1670948232 1886115160 2088685290 2784913720 2829172740 4177370580 5658345480 8354741160 19285527511 38571055022 57856582533 77142110044 96427637555 115713165066 154284220088 192855275110 231426330132 289282912665 385710550220 462852660264 578565825330 771421100440 1157131650660 2314263301320