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1302212201320 = 235193771652241
BaseRepresentation
bin10010111100110001111…
…001010100101101101000
311121111020101222220221101
4102330301321110231220
5132313412310420240
62434121130451144
7163040014036042
oct22746171245550
94544211886841
101302212201320
114622a0925848
12190464293ab4
1395a4b50b5c4
14470552c0a92
1523d1825239a
hex12f31e54b68

1302212201320 has 128 divisors (see below), whose sum is σ = 3212161401600. Its totient is φ = 473369702400.

The previous prime is 1302212201281. The next prime is 1302212201351. The reversal of 1302212201320 is 231022122031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670400 + ... + 2322640.

It is an arithmetic number, because the mean of its divisors is an integer number (25095010950).

Almost surely, 21302212201320 is an apocalyptic number.

1302212201320 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 1302212201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606080700800).

1302212201320 is an abundant number, since it is smaller than the sum of its proper divisors (1909949200280).

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

1302212201320 is a wasteful number, since it uses less digits than its factorization.

1302212201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652379 (or 652375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1302212201320 its reverse (231022122031), we get a palindrome (1533234323351).

The spelling of 1302212201320 in words is "one trillion, three hundred two billion, two hundred twelve million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 71 74 76 95 142 148 152 185 190 284 296 355 370 380 568 703 710 740 760 1349 1406 1420 1480 2627 2698 2812 2840 3515 5254 5396 5624 6745 7030 10508 10792 13135 13490 14060 21016 26270 26980 28120 49913 52540 53960 99826 105080 199652 249565 399304 499130 652241 998260 1304482 1996520 2608964 3261205 5217928 6522410 12392579 13044820 24132917 24785158 26089640 46309111 48265834 49570316 61962895 92618222 96531668 99140632 120664585 123925790 185236444 193063336 231545555 241329170 247851580 370472888 458525423 463091110 482658340 495703160 879873109 917050846 926182220 965316680 1713437107 1759746218 1834101692 1852364440 2292627115 3426874214 3519492436 3668203384 4399365545 4585254230 6853748428 7038984872 8567185535 8798731090 9170508460 13707496856 17134371070 17597462180 18341016920 32555305033 34268742140 35194924360 65110610066 68537484280 130221220132 162776525165 260442440264 325553050330 651106100660 1302212201320