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10332113314230 = 23352337123136529
BaseRepresentation
bin1001011001011010000111…
…1100011010000110110110
31100120201222202000200002000
42112112201330122012312
52323240132002023410
633550301330000130
72114320254054531
oct226264174320666
940521882020060
1010332113314230
113323908676634
1211aa523a16046
1359c41111c2c6
1427a11122da18
1512db66a22dc0
hex965a1f1a1b6

10332113314230 has 256 divisors, whose sum is σ = 29552056934400. Its totient is φ = 2562056386560.

The previous prime is 10332113314223. The next prime is 10332113314241. The reversal of 10332113314230 is 3241331123301.

10332113314230 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 113 + 314 + 230 = 666.

10332113314230 is digitally balanced in base 2, because in such base 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 10332113314194 and 10332113314203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282828606 + ... + 282865134.

It is an arithmetic number, because the mean of its divisors is an integer number (115437722400).

Almost surely, 210332113314230 is an apocalyptic number.

10332113314230 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 10332113314230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776028467200).

10332113314230 is an abundant number, since it is smaller than the sum of its proper divisors (19219943620170).

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

10332113314230 is a wasteful number, since it uses less digits than its factorization.

10332113314230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37836 (or 37830 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10332113314230 its reverse (3241331123301), we get a palindrome (13573444437531).

The spelling of 10332113314230 in words is "ten trillion, three hundred thirty-two billion, one hundred thirteen million, three hundred fourteen thousand, two hundred thirty".