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22130235505125 = 3253111759101127139
BaseRepresentation
bin1010000100000100110001…
…10100110111100111100101
32220100122000011101111112200
411002002120310313213211
510400040210242131000
6115022253450005113
74442566603036116
oct502023064674745
986318004344480
1022130235505125
117062420010490
122594ba3116799
13c46b45458877
1456717559c20d
152859d16e6500
hex142098d379e5

22130235505125 has 768 divisors, whose sum is σ = 48040899379200. Its totient is φ = 9681638400000.

The previous prime is 22130235505121. The next prime is 22130235505141. The reversal of 22130235505125 is 52150553203122.

22130235505125 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 0 + 23 + 5 + 505 + 125 = 666.

It is not a de Polignac number, because 22130235505125 - 22 = 22130235505121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22130235505125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130235505121) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 159210327306 + ... + 159210327444.

It is an arithmetic number, because the mean of its divisors is an integer number (62553254400).

Almost surely, 222130235505125 is an apocalyptic number.

22130235505125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22130235505125 is an abundant number, since it is smaller than the sum of its proper divisors (25910663874075).

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

22130235505125 is a wasteful number, since it uses less digits than its factorization.

22130235505125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 22130235505125 its reverse (52150553203122), we get a palindrome (74280788708247).

The spelling of 22130235505125 in words is "twenty-two trillion, one hundred thirty billion, two hundred thirty-five million, five hundred five thousand, one hundred twenty-five".