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1321201420 = 2257112233391
BaseRepresentation
bin100111010111111…
…1110111100001100
310102002001222121221
41032233332330030
510201211421140
6335033533124
744512012120
oct11657767414
93362058557
101321201420
11618869200
1230a5741a4
1318094c1b6
14c767d580
157aecc14a
hex4ebfef0c

1321201420 has 144 divisors (see below), whose sum is σ = 3637960704. Its totient is φ = 393782400.

The previous prime is 1321201391. The next prime is 1321201421. The reversal of 1321201420 is 241021231.

It is a junction number, because it is equal to n+sod(n) for n = 1321201394 and 1321201403.

It is not an unprimeable number, because it can be changed into a prime (1321201421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387925 + ... + 391315.

It is an arithmetic number, because the mean of its divisors is an integer number (25263616).

Almost surely, 21321201420 is an apocalyptic number.

1321201420 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 1321201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818980352).

1321201420 is an abundant number, since it is smaller than the sum of its proper divisors (2316759284).

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

1321201420 is a wasteful number, since it uses less digits than its factorization.

1321201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1321201420 is about 36348.3344872912. The cubic root of 1321201420 is about 1097.2940154411.

Adding to 1321201420 its reverse (241021231), we get a palindrome (1562222651).

The spelling of 1321201420 in words is "one billion, three hundred twenty-one million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 121 140 154 161 220 230 242 253 308 322 385 460 484 506 605 644 770 805 847 1012 1210 1265 1540 1610 1694 1771 2420 2530 2783 3220 3388 3391 3542 4235 5060 5566 6782 7084 8470 8855 11132 13564 13915 16940 16955 17710 19481 23737 27830 33910 35420 37301 38962 47474 55660 67820 74602 77924 77993 94948 97405 118685 149204 155986 186505 194810 237370 261107 311972 373010 389620 389965 410311 474740 522214 545951 746020 779930 820622 857923 1044428 1091902 1305535 1559860 1641244 1715846 2051555 2183804 2611070 2729755 2872177 3431692 4103110 4289615 5222140 5459510 5744354 6005461 8206220 8579230 9437153 10919020 11488708 12010922 14360885 17158460 18874306 24021844 28721770 30027305 37748612 47185765 57443540 60054610 66060071 94371530 120109220 132120142 188743060 264240284 330300355 660600710 1321201420