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2301214421310 = 2357194391313771
BaseRepresentation
bin100001011111001011000…
…100010111000100111110
322010222211120220212120020
4201133023010113010332
5300200341342440220
64521055135233010
7325154144561340
oct41371304270476
98128746825506
102301214421310
11807a37603862
12311ba8078766
13139007b6656c
147d544dd7290
153ecd70c5040
hex217cb11713e

2301214421310 has 128 divisors (see below), whose sum is σ = 6659247513600. Its totient is φ = 497172608640.

The previous prime is 2301214421189. The next prime is 2301214421323. The reversal of 2301214421310 is 131244121032.

2301214421310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23012144213102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094725 + ... + 2408495.

It is an arithmetic number, because the mean of its divisors is an integer number (52025371200).

Almost surely, 22301214421310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301214421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329623756800).

2301214421310 is an abundant number, since it is smaller than the sum of its proper divisors (4358033092290).

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

2301214421310 is a wasteful number, since it uses less digits than its factorization.

2301214421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314246.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2301214421310 its reverse (131244121032), we get a palindrome (2432458542342).

The spelling of 2301214421310 in words is "two trillion, three hundred one billion, two hundred fourteen million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 439 570 665 798 878 1317 1330 1995 2195 2634 3073 3990 4390 6146 6585 8341 9219 13170 15365 16682 18438 25023 30730 41705 46095 50046 58387 83410 92190 116774 125115 175161 250230 291935 350322 583870 875805 1313771 1751610 2627542 3941313 6568855 7882626 9196397 13137710 18392794 19706565 24961649 27589191 39413130 45981985 49923298 55178382 74884947 91963970 124808245 137945955 149769894 174731543 249616490 275891910 349463086 374424735 524194629 576745469 748849470 873657715 1048389258 1153490938 1730236407 1747315430 2620973145 2883727345 3460472814 4037218283 5241946290 5767454690 8074436566 8651182035 10958163911 12111654849 17302364070 20186091415 21916327822 24223309698 32874491733 40372182830 54790819555 60558274245 65748983466 76707147377 109581639110 121116548490 153414294754 164372458665 230121442131 328744917330 383535736885 460242884262 767071473770 1150607210655 2301214421310