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1313022121120 = 25517482728721
BaseRepresentation
bin10011000110110110001…
…101111001010010100000
311122112010202202202011101
4103012312031321102200
5133003032130333440
62443105524524144
7163601624611153
oct23066615712240
94575122682141
101313022121120
11466938836566
12192580550654
1396a81c42b58
144779cc31c9a
152424c29669a
hex131b63794a0

1313022121120 has 48 divisors (see below), whose sum is σ = 3284486224488. Its totient is φ = 494314209280.

The previous prime is 1313022121111. The next prime is 1313022121133. The reversal of 1313022121120 is 211212203131.

It can be written as a sum of positive squares in 4 ways, for example, as 1133994971664 + 179027149456 = 1064892^2 + 423116^2 .

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 7 ways as a sum of consecutive naturals, for example, 241361641 + ... + 241367080.

Almost surely, 21313022121120 is an apocalyptic number.

1313022121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313022121120 is an abundant number, since it is smaller than the sum of its proper divisors (1971464103368).

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

1313022121120 is a wasteful number, since it uses less digits than its factorization.

1313022121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482728753 (or 482728745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1313022121120 its reverse (211212203131), we get a palindrome (1524234324251).

The spelling of 1313022121120 in words is "one trillion, three hundred thirteen billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 482728721 965457442 1930914884 2413643605 3861829768 4827287210 7723659536 8206388257 9654574420 15447319072 16412776514 19309148840 32825553028 38618297680 41031941285 65651106056 77236595360 82063882570 131302212112 164127765140 262604424224 328255530280 656511060560 1313022121120