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102221331312 = 2435197409777
BaseRepresentation
bin101111100110011011…
…1011011101101110000
3100202211222110122221210
41133030313123231300
53133322130100222
6114543153520120
710246065660042
oct1371467335560
9322758418853
10102221331312
113a396305201
1217989873040
139840a9c479
144d3a091a92
1529d426bd0c
hex17ccddbb70

102221331312 has 40 divisors (see below), whose sum is σ = 264123229456. Its totient is φ = 34067137536.

The previous prime is 102221331301. The next prime is 102221331319. The reversal of 102221331312 is 213133122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221331319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44568 + ... + 454344.

Almost surely, 2102221331312 is an apocalyptic number.

102221331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221331312 is an abundant number, since it is smaller than the sum of its proper divisors (161901898144).

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

102221331312 is a wasteful number, since it uses less digits than its factorization.

102221331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414985 (or 414979 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102221331312 its reverse (213133122201), we get a palindrome (315354453513).

The spelling of 102221331312 in words is "one hundred two billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 5197 10394 15591 20788 31182 41576 62364 83152 124728 249456 409777 819554 1229331 1639108 2458662 3278216 4917324 6556432 9834648 19669296 2129611069 4259222138 6388833207 8518444276 12777666414 17036888552 25555332828 34073777104 51110665656 102221331312