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1100030320320 = 26357871455991
BaseRepresentation
bin10000000000011110111…
…010101001111011000000
310220011101000010012101120
4100000132322221323000
5121010330230222240
62201202535232240
7142321530305661
oct20003672517300
93804330105346
101100030320320
1139457a490108
12159239b18680
137c96a162ca9
143b35551b368
151d93348ead0
hex1001eea9ec0

1100030320320 has 112 divisors (see below), whose sum is σ = 3497036529408. Its totient is φ = 292968483840.

The previous prime is 1100030320297. The next prime is 1100030320327. The reversal of 1100030320320 is 230230300011.

It is a super-3 number, since 3×11000303203203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100030320320.

It is not an unprimeable number, because it can be changed into a prime (1100030320327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27525 + ... + 1483515.

Almost surely, 21100030320320 is an apocalyptic number.

1100030320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100030320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748518264704).

1100030320320 is an abundant number, since it is smaller than the sum of its proper divisors (2397006209088).

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

1100030320320 is a wasteful number, since it uses less digits than its factorization.

1100030320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456798 (or 1456788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1100030320320 its reverse (230230300011), we get a palindrome (1330260620331).

The spelling of 1100030320320 in words is "one trillion, one hundred billion, thirty million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 787 960 1574 2361 3148 3935 4722 6296 7870 9444 11805 12592 15740 18888 23610 25184 31480 37776 47220 50368 62960 75552 94440 125920 151104 188880 251840 377760 755520 1455991 2911982 4367973 5823964 7279955 8735946 11647928 14559910 17471892 21839865 23295856 29119820 34943784 43679730 46591712 58239640 69887568 87359460 93183424 116479280 139775136 174718920 232958560 279550272 349437840 465917120 698875680 1145864917 1397751360 2291729834 3437594751 4583459668 5729324585 6875189502 9166919336 11458649170 13750379004 17187973755 18333838672 22917298340 27500758008 34375947510 36667677344 45834596680 55001516016 68751895020 73335354688 91669193360 110003032032 137503790040 183338386720 220006064064 275007580080 366676773440 550015160160 1100030320320