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1330011432200 = 2352111735561803
BaseRepresentation
bin10011010110101010110…
…110111110010100001000
311201010222210011011122002
4103112222312332110020
5133242330411312300
62454555424450132
7165042631433303
oct23265266762410
94633883134562
101330011432200
11473066864420
12195922179948
139855b962c49
144853132bb3a
15248e3a5b5d5
hex135aadbe508

1330011432200 has 96 divisors (see below), whose sum is σ = 3571827593760. Its totient is φ = 455191065600.

The previous prime is 1330011432157. The next prime is 1330011432203. The reversal of 1330011432200 is 22341100331.

It is a super-3 number, since 3×13300114322003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1330011432203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17743502 + ... + 17818301.

It is an arithmetic number, because the mean of its divisors is an integer number (37206537435).

Almost surely, 21330011432200 is an apocalyptic number.

1330011432200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330011432200 is an abundant number, since it is smaller than the sum of its proper divisors (2241816161560).

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

1330011432200 is a wasteful number, since it uses less digits than its factorization.

1330011432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35561847 (or 35561838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1330011432200 its reverse (22341100331), we get a palindrome (1352352532531).

The spelling of 1330011432200 in words is "one trillion, three hundred thirty billion, eleven million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 35561803 71123606 142247212 177809015 284494424 355618030 391179833 604550651 711236060 782359666 889045075 1209101302 1422472120 1564719332 1778090150 1955899165 2418202604 3022753255 3129438664 3556180300 3911798330 4836405208 6045506510 6650057161 7112360600 7823596660 9779495825 12091013020 13300114322 15113766275 15647193320 19558991650 24182026040 26600228644 30227532550 33250285805 39117983300 53200457288 60455065100 66500571610 78235966600 120910130200 133001143220 166251429025 266002286440 332502858050 665005716100 1330011432200