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132102222213330 = 233537277409116719
BaseRepresentation
bin11110000010010101110010…
…000001110111000011010010
3122022201211220222222121121000
4132002111302001313003102
5114303330322341311310
61144542531215442430
736553033133532225
oct3602256201670322
9568654828877530
10132102222213330
11391012685a5956
1212996366b26416
135893255b37305
142489ad2c8d5bc
1510414369194c0
hex7825720770d2

132102222213330 has 256 divisors, whose sum is σ = 363990479616000. Its totient is φ = 34067642370048.

The previous prime is 132102222213289. The next prime is 132102222213337. The reversal of 132102222213330 is 33312222201231.

132102222213330 is a `hidden beast` number, since 1 + 3 + 2 + 102 + 2 + 2 + 221 + 3 + 330 = 666.

It is a super-2 number, since 2×1321022222133302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132102222213294 and 132102222213303.

It is not an unprimeable number, because it can be changed into a prime (132102222213337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1131738711 + ... + 1131855429.

It is an arithmetic number, because the mean of its divisors is an integer number (1421837811000).

Almost surely, 2132102222213330 is an apocalyptic number.

132102222213330 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 132102222213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181995239808000).

132102222213330 is an abundant number, since it is smaller than the sum of its proper divisors (231888257402670).

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

132102222213330 is a wasteful number, since it uses less digits than its factorization.

132102222213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117458 (or 117452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132102222213330 its reverse (33312222201231), we get a palindrome (165414444414561).

The spelling of 132102222213330 in words is "one hundred thirty-two trillion, one hundred two billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred thirty".