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23132344323132 = 2232117313745712781
BaseRepresentation
bin1010100001001111010110…
…01010101000110000111100
310000220102121211220222111100
411100213223022220300330
511013000020121320012
6121110504031453100
74605154025326452
oct520475312506074
9100812554828440
1023132344323132
117409410347580
122717253387190
13cba4a85abac5
1459d87bb089d2
152a1ad31678dc
hex1509eb2a8c3c

23132344323132 has 288 divisors, whose sum is σ = 65282644050624. Its totient is φ = 6847757107200.

The previous prime is 23132344323097. The next prime is 23132344323149.

23132344323132 is a `hidden beast` number, since 2 + 3 + 1 + 323 + 4 + 4 + 323 + 1 + 3 + 2 = 666.

23132344323132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1809894582 + ... + 1809907362.

It is an arithmetic number, because the mean of its divisors is an integer number (226675847398).

Almost surely, 223132344323132 is an apocalyptic number.

23132344323132 is a gapful number since it is divisible by the number (22) 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 23132344323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32641322025312).

23132344323132 is an abundant number, since it is smaller than the sum of its proper divisors (42150299727492).

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

23132344323132 is a wasteful number, since it uses less digits than its factorization.

23132344323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13464 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 2313234 and 4323132, that added together give a palindrome (6636366).

The spelling of 23132344323132 in words is "twenty-three trillion, one hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, one hundred thirty-two".