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10023124151430 = 232513311072582687
BaseRepresentation
bin1001000111011011000011…
…0000010010110010000110
31022111012102202101212011100
42101312300300102302012
52303204324240321210
633152320515520530
72053101234365355
oct221666060226206
938435382355140
1010023124151430
113214868310275
12115a66bbb9146
1357923ab66070
1426919c2d799c
15125ad00c85c0
hex91db0c12c86

10023124151430 has 192 divisors, whose sum is σ = 29240821628928. Its totient is φ = 2365327146240.

The previous prime is 10023124151347. The next prime is 10023124151437. The reversal of 10023124151430 is 3415142132001.

10023124151430 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 124 + 1 + 514 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10023124151394 and 10023124151403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023124151437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2589547 + ... + 5172233.

It is an arithmetic number, because the mean of its divisors is an integer number (152295945984).

Almost surely, 210023124151430 is an apocalyptic number.

10023124151430 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 10023124151430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620410814464).

10023124151430 is an abundant number, since it is smaller than the sum of its proper divisors (19217697477498).

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

10023124151430 is a wasteful number, since it uses less digits than its factorization.

10023124151430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582851 (or 2582848 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10023124151430 its reverse (3415142132001), we get a palindrome (13438266283431).

The spelling of 10023124151430 in words is "ten trillion, twenty-three billion, one hundred twenty-four million, one hundred fifty-one thousand, four hundred thirty".