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220311465132 = 2231117910099241
BaseRepresentation
bin1100110100101110010…
…1100010110010101100
3210001122212220000120210
43031023211202302230
512102144213341012
6245113143142420
721626344361343
oct3151345426254
9701585800523
10220311465132
1185485095620
1236845a44a10
1317a103aa2b5
14a93d8c2b5a
155ae671623c
hex334b962cac

220311465132 has 96 divisors (see below), whose sum is σ = 564545721600. Its totient is φ = 66315110400.

The previous prime is 220311465131. The next prime is 220311465139. The reversal of 220311465132 is 231564113022.

220311465132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220311465132.

It is not an unprimeable number, because it can be changed into a prime (220311465131) by changing a digit.

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, 23836032 + ... + 23845272.

It is an arithmetic number, because the mean of its divisors is an integer number (5880684600).

Almost surely, 2220311465132 is an apocalyptic number.

220311465132 is a gapful number since it is divisible by the number (22) 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 220311465132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282272860800).

220311465132 is an abundant number, since it is smaller than the sum of its proper divisors (344234256468).

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

220311465132 is a wasteful number, since it uses less digits than its factorization.

220311465132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 220311465132 its reverse (231564113022), we get a palindrome (451875578154).

The spelling of 220311465132 in words is "two hundred twenty billion, three hundred eleven million, four hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1009 1074 1969 2018 2148 3027 3938 4036 5907 6054 7876 9241 11099 11814 12108 18482 22198 23628 27723 33297 36964 44396 55446 66594 101651 110892 133188 180611 203302 304953 361222 406604 541833 609906 722444 1083666 1219812 1654139 1986721 2167332 3308278 3973442 4962417 5960163 6616556 7946884 9324169 9924834 11920326 18195529 18648338 19849668 23840652 27972507 36391058 37296676 54586587 55945014 72782116 102565859 109173174 111890028 205131718 218346348 307697577 410263436 615395154 1230790308 1669026251 3338052502 5007078753 6676105004 10014157506 18359288761 20028315012 36718577522 55077866283 73437155044 110155732566 220311465132