Search a number
-
+
321214212020420 = 22517979739666829
BaseRepresentation
bin100100100001001001000001…
…1000000010001100011000100
31120010022210000201112122101222
41021002102003000101203010
5314100233201234123140
63055055434415535512
7124441650421423625
oct11102220300214304
91503283021478358
10321214212020420
1193392200714974
123003957182a598
1310a304a74b7a94
145946bca8c5a4c
1527207bae445b5
hex12424830118c4

321214212020420 has 48 divisors (see below), whose sum is σ = 721592436101040. Its totient is φ = 119681025982464.

The previous prime is 321214212020389. The next prime is 321214212020509. The reversal of 321214212020420 is 24020212412123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6951890884 + 321207260129536 = 83378^2 + 17922256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321214212020420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4869800435 + ... + 4869866394.

It is an arithmetic number, because the mean of its divisors is an integer number (15033175752105).

Almost surely, 2321214212020420 is an apocalyptic number.

It is an amenable number.

321214212020420 is an abundant number, since it is smaller than the sum of its proper divisors (400378224080620).

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

321214212020420 is a wasteful number, since it uses less digits than its factorization.

321214212020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9739666952 (or 9739666950 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 321214212020420 its reverse (24020212412123), we get a palindrome (345234424432543).

The spelling of 321214212020420 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred twelve million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 9739666829 19479333658 38958667316 48698334145 97396668290 165574336093 194793336580 331148672186 662297344372 827871680465 944747682413 1655743360930 1889495364826 3311486721860 3778990729652 4723738412065 9447476824130 16060710601021 18894953648260 32121421202042 64242842404084 80303553005105 160607106010210 321214212020420