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132122100330 = 2325111321101027
BaseRepresentation
bin111101100001100010…
…1110100001001101010
3110122000211001010000100
41323003011310021222
54131041224202310
6140410203050230
712355052215533
oct1730305641152
9418024033010
10132122100330
115103a532560
1221733510976
13c5c772cabc
14657526968a
1536842e3ec0
hex1ec317426a

132122100330 has 96 divisors (see below), whose sum is σ = 375033716928. Its totient is φ = 32005036800.

The previous prime is 132122100323. The next prime is 132122100337. The reversal of 132122100330 is 33001221231.

132122100330 is a `hidden beast` number, since 1 + 321 + 2 + 2 + 10 + 0 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (132122100323) and next prime (132122100337).

It is a super-2 number, since 2×1321221003302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132122100337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257277 + ... + 1358303.

It is an arithmetic number, because the mean of its divisors is an integer number (3906601218).

Almost surely, 2132122100330 is an apocalyptic number.

132122100330 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 132122100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187516858464).

132122100330 is an abundant number, since it is smaller than the sum of its proper divisors (242911616598).

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

132122100330 is a wasteful number, since it uses less digits than its factorization.

132122100330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102372 (or 102369 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132122100330 its reverse (33001221231), we get a palindrome (165123321561).

The spelling of 132122100330 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1321 2642 3963 6605 7926 11889 13210 14531 19815 23778 29062 39630 43593 59445 72655 87186 101027 118890 130779 145310 202054 217965 261558 303081 435930 505135 606162 653895 909243 1010270 1111297 1307790 1515405 1818486 2222594 3030810 3333891 4546215 5556485 6667782 9092430 10001673 11112970 16669455 20003346 33338910 50008365 100016730 133456667 266913334 400370001 667283335 800740002 1201110003 1334566670 1468023337 2001850005 2402220006 2936046674 4003700010 4404070011 6005550015 7340116685 8808140022 12011100030 13212210033 14680233370 22020350055 26424420066 44040700110 66061050165 132122100330