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1214320332104 = 2311215121139373
BaseRepresentation
bin10001101010111011001…
…000011100110101001000
311022002101001221100120222
4101222323020130311020
5124343412001111404
62325503455005212
7153505663342265
oct21527310346510
94262331840528
101214320332104
11428a99196600
12177415509808
138a682392cb9
1442ab838826c
15218c1ee6dbe
hex11abb21cd48

1214320332104 has 96 divisors (see below), whose sum is σ = 2531231613120. Its totient is φ = 545695920000.

The previous prime is 1214320332097. The next prime is 1214320332119. The reversal of 1214320332104 is 4012330234121.

It is a super-2 number, since 2×12143203321042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30821762 + ... + 30861134.

It is an arithmetic number, because the mean of its divisors is an integer number (26366995970).

Almost surely, 21214320332104 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 1214320332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265615806560).

1214320332104 is an abundant number, since it is smaller than the sum of its proper divisors (1316911281016).

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

1214320332104 is a wasteful number, since it uses less digits than its factorization.

1214320332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39763 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1214320332104 its reverse (4012330234121), we get a palindrome (5226650566225).

The spelling of 1214320332104 in words is "one trillion, two hundred fourteen billion, three hundred twenty million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 151 211 242 302 422 484 604 844 968 1208 1661 1688 2321 3322 4642 6644 9284 13288 18271 18568 25531 31861 36542 39373 51062 63722 73084 78746 102124 127444 146168 157492 204248 254888 314984 350471 433103 700942 866206 1401884 1732412 2803768 3464824 3855181 4764133 5945323 7710362 8307703 9528266 11890646 15420724 16615406 19056532 23781292 30841448 33230812 38113064 47562584 65398553 66461624 91384733 130797106 182769466 261594212 365538932 523188424 719384083 731077864 1005232063 1254463153 1438768166 2010464126 2508926306 2877536332 4020928252 5017852612 5755072664 8041856504 10035705224 13799094683 27598189366 55196378732 110392757464 151790041513 303580083026 607160166052 1214320332104