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10121066125 = 531912411759
BaseRepresentation
bin10010110110100001…
…10011011010001101
3222010100120102121221
421123100303122031
5131211443104000
64352145323341
7505544433262
oct113320633215
928110512557
1010121066125
114324094865
121b65636551
13c53ac8731
146c0279269
153e382461a
hex25b43368d

10121066125 has 32 divisors (see below), whose sum is σ = 12757155840. Its totient is φ = 8016480000.

The previous prime is 10121066113. The next prime is 10121066159. The reversal of 10121066125 is 52166012101.

It is a happy number.

10121066125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10121066125 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 10121066125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5752996 + ... + 5754754.

It is an arithmetic number, because the mean of its divisors is an integer number (398661120).

Almost surely, 210121066125 is an apocalyptic number.

It is an amenable number.

10121066125 is a deficient number, since it is larger than the sum of its proper divisors (2636089715).

10121066125 is a wasteful number, since it uses less digits than its factorization.

10121066125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 10121066125 its reverse (52166012101), we get a palindrome (62287078226).

The spelling of 10121066125 in words is "ten billion, one hundred twenty-one million, sixty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 125 191 241 955 1205 1759 4775 6025 8795 23875 30125 43975 46031 219875 230155 335969 423919 1150775 1679845 2119595 5753875 8399225 10597975 41996125 52989875 80968529 404842645 2024213225 10121066125