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10232132432100 = 2235219732336857
BaseRepresentation
bin1001010011100101101010…
…0111100111000011100100
31100020011220220100121121120
42110321122213213003210
52320120401400311400
633432324324413540
72104150531432335
oct224713247470344
940204826317546
1010232132432100
113295472009027
1211930805472b0
13592b69574617
1427534894828c
1512b264312ca0
hex94e5a9e70e4

10232132432100 has 216 divisors, whose sum is σ = 31595959916640. Its totient is φ = 2549541795840.

The previous prime is 10232132432089. The next prime is 10232132432113. The reversal of 10232132432100 is 123423123201.

10232132432100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102321324321002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30206872 + ... + 30543728.

Almost surely, 210232132432100 is an apocalyptic number.

10232132432100 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 10232132432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797979958320).

10232132432100 is an abundant number, since it is smaller than the sum of its proper divisors (21363827484540).

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

10232132432100 is a wasteful number, since it uses less digits than its factorization.

10232132432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337039 (or 336959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10232132432100 its reverse (123423123201), we get a palindrome (10355555555301).

The spelling of 10232132432100 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty-two million, four hundred thirty-two thousand, one hundred".