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11330313330 = 2357431125183
BaseRepresentation
bin10101000110101011…
…01101110001110010
31002020121222112221110
422203111231301302
5141201030011310
65112143534150
7550530034320
oct124325556162
932217875843
1011330313330
114894737116
1222425ba356
1310b74a9c1b
14796ad4d10
15464a89d20
hex2a356dc72

11330313330 has 64 divisors (see below), whose sum is σ = 31149785088. Its totient is φ = 2583756480.

The previous prime is 11330313259. The next prime is 11330313343. The reversal of 11330313330 is 3331303311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11330313297 and 11330313306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27919 + ... + 153101.

It is an arithmetic number, because the mean of its divisors is an integer number (486715392).

Almost surely, 211330313330 is an apocalyptic number.

11330313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574892544).

11330313330 is an abundant number, since it is smaller than the sum of its proper divisors (19819471758).

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

11330313330 is a wasteful number, since it uses less digits than its factorization.

11330313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125631.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 11330313330 its reverse (3331303311), we get a palindrome (14661616641).

The spelling of 11330313330 in words is "eleven billion, three hundred thirty million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 431 862 1293 2155 2586 3017 4310 6034 6465 9051 12930 15085 18102 30170 45255 90510 125183 250366 375549 625915 751098 876281 1251830 1752562 1877745 2628843 3755490 4381405 5257686 8762810 13144215 26288430 53953873 107907746 161861619 269769365 323723238 377677111 539538730 755354222 809308095 1133031333 1618616190 1888385555 2266062666 3776771110 5665156665 11330313330