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10023302421132 = 2237211213371731693
BaseRepresentation
bin1001000111011011101101…
…1000010101101010001100
31022111012220011211220012220
42101312323120111222030
52303210210404434012
633152350324455340
72053105530556200
oct221667330255214
938435804756186
1010023302421132
113214949a00a00
12115a6bb84a550
13579268a824b0
142691b7c60b00
15125ae0a8e08c
hex91dbb615a8c

10023302421132 has 864 divisors, whose sum is σ = 33285785835456. Its totient is φ = 2323349360640.

The previous prime is 10023302421079. The next prime is 10023302421137. The reversal of 10023302421132 is 23112420332001.

10023302421132 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-3 number, since 3×100233024211323 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10023302421137) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5920437678 + ... + 5920439370.

Almost surely, 210023302421132 is an apocalyptic number.

10023302421132 is a gapful number since it is divisible by the number (12) 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 10023302421132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642892917728).

10023302421132 is an abundant number, since it is smaller than the sum of its proper divisors (23262483414324).

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

10023302421132 is a wasteful number, since it uses less digits than its factorization.

10023302421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1939 counting only the distinct ones).

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

Adding to 10023302421132 its reverse (23112420332001), we get a palindrome (33135722753133).

The spelling of 10023302421132 in words is "ten trillion, twenty-three billion, three hundred two million, four hundred twenty-one thousand, one hundred thirty-two".