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321242433213020 = 2251143122961147551
BaseRepresentation
bin100100100001010110001010…
…1000111100101001001011100
31120010102110212111200202202112
41021002230111013211021130
5314101214000400304040
63055120423030013152
7124443666651542234
oct11102542507451134
91503373774622675
10321242433213020
11933a3172859640
1230042b28aa71b8
1310a330541a0007
1459483069b2cc4
1527213bd7ee365
hex1242b151e525c

321242433213020 has 96 divisors (see below), whose sum is σ = 737681847017472. Its totient is φ = 116538531200000.

The previous prime is 321242433213011. The next prime is 321242433213047. The reversal of 321242433213020 is 20312334242123.

It is a congruent number.

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, 2177088245 + ... + 2177235795.

It is an arithmetic number, because the mean of its divisors is an integer number (7684185906432).

Almost surely, 2321242433213020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321242433213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368840923508736).

321242433213020 is an abundant number, since it is smaller than the sum of its proper divisors (416439413804452).

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

321242433213020 is a wasteful number, since it uses less digits than its factorization.

321242433213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170963 (or 170961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 321242433213020 its reverse (20312334242123), we get a palindrome (341554767455143).

The spelling of 321242433213020 in words is "three hundred twenty-one trillion, two hundred forty-two billion, four hundred thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1724 2155 4310 4741 8620 9482 18964 22961 23705 45922 47410 91844 94820 114805 147551 229610 252571 295102 459220 505142 590204 737755 1010284 1262855 1475510 1623061 2525710 2951020 3246122 5051420 6492244 8115305 9896191 16230610 19792382 32461220 39584764 49480955 63594481 98961910 108858101 127188962 197923820 217716202 254377924 317972405 435432404 544290505 635944810 699539291 1088581010 1271889620 1399078582 2177162020 2798157164 3387918511 3497696455 6775837022 6995392910 13551674044 13990785820 16939592555 33879185110 37267103621 67758370220 74534207242 149068414484 186335518105 372671036210 745342072420 1460192878241 2920385756482 5840771512964 7300964391205 14601928782410 16062121660651 29203857564820 32124243321302 64248486642604 80310608303255 160621216606510 321242433213020