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1002232112112 = 24357119073691
BaseRepresentation
bin11101001010110011011…
…00000110001111110000
310112210221021112110200000
432211121230012033300
5112410032410041422
62044230304230000
7132260150251350
oct16453154061760
93483837473600
101002232112112
11357053998850
121422a560b300
137368286163a
1436718a82b60
151b10c6c7cac
hexe959b063f0

1002232112112 has 480 divisors, whose sum is σ = 3631464904704. Its totient is φ = 259962566400.

The previous prime is 1002232112099. The next prime is 1002232112113. The reversal of 1002232112112 is 2112112322001.

1002232112112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002232112113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271532187 + ... + 271535877.

Almost surely, 21002232112112 is an apocalyptic number.

1002232112112 is a gapful number since it is divisible by the number (12) 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 1002232112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815732452352).

1002232112112 is an abundant number, since it is smaller than the sum of its proper divisors (2629232792592).

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

1002232112112 is a wasteful number, since it uses less digits than its factorization.

1002232112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1002232112112 its reverse (2112112322001), we get a palindrome (3114344434113).

The spelling of 1002232112112 in words is "one trillion, two billion, two hundred thirty-two million, one hundred twelve thousand, one hundred twelve".