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1313330011120 = 245421110335353
BaseRepresentation
bin10011000111001000100…
…100011001101111110000
311122112221020010011211201
4103013020210121233300
5133004144440323440
62443200244020544
7163612353621511
oct23071044315760
94575836104751
101313330011120
11466a86609906
12192647691754
1396b00973c9a
14477cba9aa08
152426931319a
hex131c8919bf0

1313330011120 has 80 divisors (see below), whose sum is σ = 3063606809472. Its totient is φ = 523594229760.

The previous prime is 1313330011117. The next prime is 1313330011171. The reversal of 1313330011120 is 211100333131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37131364 + ... + 37166716.

Almost surely, 21313330011120 is an apocalyptic number.

1313330011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313330011120 is an abundant number, since it is smaller than the sum of its proper divisors (1750276798352).

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

1313330011120 is a wasteful number, since it uses less digits than its factorization.

1313330011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36890 (or 36884 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313330011120 its reverse (211100333131), we get a palindrome (1524430344251).

The spelling of 1313330011120 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1103 1684 2105 2206 3368 4210 4412 5515 6736 8420 8824 11030 16840 17648 22060 33680 35353 44120 70706 88240 141412 176765 282824 353530 464363 565648 707060 928726 1414120 1857452 2321815 2828240 3714904 4643630 7429808 9287260 14883613 18574520 29767226 37149040 38994359 59534452 74418065 77988718 119068904 148836130 155977436 194971795 238137808 297672260 311954872 389943590 595344520 623909744 779887180 1190689040 1559774360 3119548720 16416625139 32833250278 65666500556 82083125695 131333001112 164166251390 262666002224 328332502780 656665005560 1313330011120