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331300413224 = 231143191243
BaseRepresentation
bin1001101001000110000…
…10110001111100101000
31011200010220011202200222
410310203002301330220
520412000401210344
6412110341345212
732635635022364
oct4644302617450
91150126152628
10331300413224
1111855a4a0000
125425ba08208
132531a744a91
141206c1782a4
15894055a5ee
hex4d230b1f28

331300413224 has 80 divisors (see below), whose sum is σ = 705352617600. Its totient is φ = 145731722400.

The previous prime is 331300413137. The next prime is 331300413233. The reversal of 331300413224 is 422314003133.

It is a junction number, because it is equal to n+sod(n) for n = 331300413193 and 331300413202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3585347 + ... + 3676589.

It is an arithmetic number, because the mean of its divisors is an integer number (8816907720).

Almost surely, 2331300413224 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 331300413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352676308800).

331300413224 is an abundant number, since it is smaller than the sum of its proper divisors (374052204376).

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

331300413224 is an equidigital number, since it uses as much as digits as its factorization.

331300413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91324 (or 91287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 331300413224 its reverse (422314003133), we get a palindrome (753614416357).

The spelling of 331300413224 in words is "three hundred thirty-one billion, three hundred million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1331 1364 2662 2728 3751 5324 7502 10648 14641 15004 29282 30008 41261 58564 82522 91243 117128 165044 182486 330088 364972 453871 729944 907742 1003673 1815484 2007346 2828533 3630968 4014692 5657066 8029384 11040403 11314132 22080806 22628264 31113863 44161612 62227726 88323224 121444433 124455452 242888866 248910904 342252493 485777732 684504986 971555464 1335888763 1369009972 2671777526 2738019944 3764777423 5343555052 7529554846 10687110104 15059109692 30118219384 41412551653 82825103306 165650206612 331300413224