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10232433132030 = 23353143199142867
BaseRepresentation
bin1001010011100110110010…
…0010101100000111111110
31100020012200212011202101000
42110321230202230013332
52320122010340211110
633432414225431130
72104161142355454
oct224715442540776
940205625152330
1010232433132030
11329560682036a
12119314519b4a6
13592bb6958b85
142753768609d4
1512b28090e1c0
hex94e6c8ac1fe

10232433132030 has 256 divisors, whose sum is σ = 28966772736000. Its totient is φ = 2566239096960.

The previous prime is 10232433132013. The next prime is 10232433132037. The reversal of 10232433132030 is 3023133423201.

10232433132030 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 4 + 331 + 320 + 3 + 0 = 666.

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 = 10232433131985 and 10232433132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232433132037) 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 127 ways as a sum of consecutive naturals, for example, 71550657 + ... + 71693523.

It is an arithmetic number, because the mean of its divisors is an integer number (113151456000).

Almost surely, 210232433132030 is an apocalyptic number.

10232433132030 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 10232433132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483386368000).

10232433132030 is an abundant number, since it is smaller than the sum of its proper divisors (18734339603970).

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

10232433132030 is a wasteful number, since it uses less digits than its factorization.

10232433132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143156 (or 143150 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10232433132030 its reverse (3023133423201), we get a palindrome (13255566555231).

The spelling of 10232433132030 in words is "ten trillion, two hundred thirty-two billion, four hundred thirty-three million, one hundred thirty-two thousand, thirty".