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321213320010 = 233511463233591
BaseRepresentation
bin1001010110010011100…
…11100100101101001010
31010201002220112100011000
410223021303210231022
520230321102220020
6403321404115430
732130652112352
oct4531163445512
91121086470130
10321213320010
111142535aa630
1252305835b76
13243a09b277b
1411792623b62
15854ebe7090
hex4ac9ce4b4a

321213320010 has 128 divisors (see below), whose sum is σ = 936460984320. Its totient is φ = 77701377600.

The previous prime is 321213319993. The next prime is 321213320011. The reversal of 321213320010 is 10023312123.

321213320010 is a `hidden beast` number, since 321 + 2 + 1 + 332 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321213320011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1258315 + ... + 1491905.

It is an arithmetic number, because the mean of its divisors is an integer number (7316101440).

Almost surely, 2321213320010 is an apocalyptic number.

321213320010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468230492160).

321213320010 is an abundant number, since it is smaller than the sum of its proper divisors (615247664310).

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

321213320010 is a wasteful number, since it uses less digits than its factorization.

321213320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234081 (or 234075 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321213320010 its reverse (10023312123), we get a palindrome (331236632133).

The spelling of 321213320010 in words is "three hundred twenty-one billion, two hundred thirteen million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 463 495 594 926 990 1389 1485 2315 2778 2970 4167 4630 5093 6945 8334 10186 12501 13890 15279 20835 25002 25465 30558 41670 45837 50930 62505 76395 91674 125010 137511 152790 229185 233591 275022 458370 467182 687555 700773 1167955 1375110 1401546 2102319 2335910 2569501 3503865 4204638 5139002 6306957 7007730 7708503 10511595 12613914 12847505 15417006 21023190 23125509 25695010 31534785 38542515 46251018 63069570 69376527 77085030 108152633 115627545 138753054 216305266 231255090 324457899 346882635 540763165 648915798 693765270 973373697 1081526330 1189678963 1622289495 1946747394 2379357926 2920121091 3244578990 3569036889 4866868485 5840242182 5948394815 7138073778 9733736970 10707110667 11896789630 14600605455 17845184445 21414221334 29201210910 32121332001 35690368890 53535553335 64242664002 107071106670 160606660005 321213320010