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10012310223300 = 2232527211171996101
BaseRepresentation
bin1001000110110010110000…
…1100011011100111000100
31022110011112010002101112200
42101230230030123213010
52303020202404121200
633143331455514500
72052236244460200
oct221545414334704
938404463071480
1010012310223300
113210219111a90
121158552528a30
1357820665a218
14268854021b00
1512569aa41800
hex91b2c31b9c4

10012310223300 has 1296 divisors, whose sum is σ = 42387118300800. Its totient is φ = 1947939840000.

The previous prime is 10012310223263. The next prime is 10012310223301. The reversal of 10012310223300 is 332201321001.

10012310223300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 310 + 22 + 330 + 0 = 666.

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 (10012310223301) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1641090250 + ... + 1641096350.

It is an arithmetic number, because the mean of its divisors is an integer number (32706109800).

Almost surely, 210012310223300 is an apocalyptic number.

10012310223300 is a gapful number since it is divisible by the number (10) 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 10012310223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193559150400).

10012310223300 is an abundant number, since it is smaller than the sum of its proper divisors (32374808077500).

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

10012310223300 is a wasteful number, since it uses less digits than its factorization.

10012310223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6345 counting only the distinct ones).

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

Adding to 10012310223300 its reverse (332201321001), we get a palindrome (10344511544301).

The spelling of 10012310223300 in words is "ten trillion, twelve billion, three hundred ten million, two hundred twenty-three thousand, three hundred".