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2130301330344 = 2334111009329611
BaseRepresentation
bin11110111111111111110…
…110101010001110101000
321112122200100210021010000
4132333333312222032220
5234400324120032334
64310351422423000
7306623565352365
oct36777766521650
97478610707100
102130301330344
11751501622960
122a4a49731a60
13125b6a9b1385
147516dd9746c
153a632514299
hex1efffdaa3a8

2130301330344 has 160 divisors (see below), whose sum is σ = 6510118839840. Its totient is φ = 645460099200.

The previous prime is 2130301330291. The next prime is 2130301330351. The reversal of 2130301330344 is 4430331030312.

2130301330344 is a `hidden beast` number, since 2 + 1 + 303 + 0 + 13 + 3 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71928099 + ... + 71957709.

It is an arithmetic number, because the mean of its divisors is an integer number (40688242749).

Almost surely, 22130301330344 is an apocalyptic number.

2130301330344 is a gapful number since it is divisible by the number (24) 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 2130301330344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255059419920).

2130301330344 is an abundant number, since it is smaller than the sum of its proper divisors (4379817509496).

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

2130301330344 is a wasteful number, since it uses less digits than its factorization.

2130301330344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39733 (or 39720 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2130301330344 its reverse (4430331030312), we get a palindrome (6560632360656).

The spelling of 2130301330344 in words is "two trillion, one hundred thirty billion, three hundred one million, three hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 10093 20186 29611 30279 40372 59222 60558 80744 88833 90837 111023 118444 121116 177666 181674 222046 236888 242232 266499 272511 325721 333069 355332 363348 444092 532998 545022 651442 666138 710664 726696 799497 817533 888184 977163 999207 1065996 1090044 1302884 1332276 1598994 1635066 1954326 1998414 2131992 2180088 2398491 2605768 2664552 2931489 2997621 3197988 3270132 3908652 3996828 4796982 5862978 5995242 6395976 6540264 7817304 7993656 8794467 8992863 9593964 11725956 11990484 17588934 17985726 19187928 23451912 23980968 26383401 35177868 35971452 52766802 70355736 71942904 105533604 211067208 298863823 597727646 896591469 1195455292 1793182938 2390910584 2689774407 3287502053 3586365876 5379548814 6575004106 7172731752 8069323221 9862506159 10759097628 13150008212 16138646442 19725012318 21518195256 24207969663 26300016424 29587518477 32277292884 39450024636 48415939326 59175036954 64554585768 78900049272 88762555431 96831878652 118350073908 177525110862 193663757304 236700147816 266287666293 355050221724 532575332586 710100443448 1065150665172 2130301330344