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11330303211020 = 22523191787163861
BaseRepresentation
bin1010010011100000101010…
…1100101011011000001100
31111010011111022102022202102
42210320022230223120030
52441113430110223040
640033022555414232
72246405322146663
oct244701254533014
944104438368672
1011330303211020
113679177867162
12132ba7b754378
1364259b39b251
142b25650cddda
15149ad93d7515
hexa4e0ab2b60c

11330303211020 has 96 divisors (see below), whose sum is σ = 24989998473216. Its totient is φ = 4306870022400.

The previous prime is 11330303211013. The next prime is 11330303211047. The reversal of 11330303211020 is 2011230303311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11330303210983 and 11330303211001.

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 31 ways as a sum of consecutive naturals, for example, 69063890 + ... + 69227750.

It is an arithmetic number, because the mean of its divisors is an integer number (260312484096).

Almost surely, 211330303211020 is an apocalyptic number.

11330303211020 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 11330303211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494999236608).

11330303211020 is an abundant number, since it is smaller than the sum of its proper divisors (13659695262196).

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

11330303211020 is a wasteful number, since it uses less digits than its factorization.

11330303211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164871 (or 164869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11330303211020 its reverse (2011230303311), we get a palindrome (13341533514331).

The spelling of 11330303211020 in words is "eleven trillion, three hundred thirty billion, three hundred three million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 191 230 382 460 764 787 955 1574 1910 3148 3820 3935 4393 7870 8786 15740 17572 18101 21965 36202 43930 72404 87860 90505 150317 163861 181010 300634 327722 362020 601268 655444 751585 819305 1503170 1638610 3006340 3277220 3457291 3768803 6914582 7537606 13829164 15075212 17286455 18844015 31297451 34572910 37688030 62594902 69145820 75376060 125189804 128958607 156487255 257917214 312974510 515834428 625949020 644793035 719841373 1289586070 1439682746 2579172140 2879365492 2966047961 3599206865 5932095922 7198413730 11864191844 14396827460 14830239805 24631093937 29660479610 49262187874 59320959220 98524375748 123155469685 246310939370 492621878740 566515160551 1133030321102 2266060642204 2832575802755 5665151605510 11330303211020