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1101290320 = 245131736121
BaseRepresentation
bin100000110100100…
…0101101101010000
32211202021100022101
41001221011231100
54223412242240
6301140250144
736201545644
oct10151055520
92752240271
101101290320
11515716799
122689a0954
131472130a0
14a6396c24
1566a3d39a
hex41a45b50

1101290320 has 80 divisors (see below), whose sum is σ = 2773853712. Its totient is φ = 404213760.

The previous prime is 1101290287. The next prime is 1101290327. The reversal of 1101290320 is 230921011.

It can be written as a sum of positive squares in 8 ways, for example, as 65480464 + 1035809856 = 8092^2 + 32184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101290327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176860 + ... + 182980.

Almost surely, 21101290320 is an apocalyptic number.

1101290320 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 1101290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386926856).

1101290320 is an abundant number, since it is smaller than the sum of its proper divisors (1672563392).

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

1101290320 is a wasteful number, since it uses less digits than its factorization.

1101290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1101290320 is about 33185.6945083269. The cubic root of 1101290320 is about 1032.6835855196.

The spelling of 1101290320 in words is "one billion, one hundred one million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 208 260 346 520 692 865 1040 1384 1730 2249 2768 3460 4498 6121 6920 8996 11245 12242 13840 17992 22490 24484 30605 35984 44980 48968 61210 79573 89960 97936 122420 159146 179920 244840 318292 397865 489680 636584 795730 1058933 1273168 1591460 2117866 3182920 4235732 5294665 6365840 8471464 10589330 13766129 16942928 21178660 27532258 42357320 55064516 68830645 84714640 110129032 137661290 220258064 275322580 550645160 1101290320