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232132103220000 = 25354231031633123
BaseRepresentation
bin110100110001111101110111…
…100011011010101100100000
31010102220121112101200120002110
4310301331313203122230200
5220411223021411020000
62141412003244115320
766615663626244144
oct6461756743325440
91112817471616073
10232132103220000
1167a67743661665
122205090b835b40
139c6ac6a7b1699
14414737a3b3224
151bc844e65a850
hexd31f778dab20

232132103220000 has 480 divisors, whose sum is σ = 802260328117248. Its totient is φ = 58635612288000.

The previous prime is 232132103219927. The next prime is 232132103220011. The reversal of 232132103220000 is 22301231232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2321321032200003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141323439 + ... + 142956561.

Almost surely, 2232132103220000 is an apocalyptic number.

232132103220000 is a gapful number since it is divisible by the number (20) 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 232132103220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401130164058624).

232132103220000 is an abundant number, since it is smaller than the sum of its proper divisors (570128224897248).

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

232132103220000 is a wasteful number, since it uses less digits than its factorization.

232132103220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633282 (or 1633259 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232132103220000 its reverse (22301231232), we get a palindrome (232154404451232).

The spelling of 232132103220000 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, one hundred three million, two hundred twenty thousand".