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152205112025 = 5247950924971
BaseRepresentation
bin1000110111000000100…
…0011011001011011001
3112112212102202210220022
42031300020123023121
54443204002041100
6153531055440225
713665533051201
oct2156010331331
9475772683808
10152205112025
11596058aa48a
12255b9226075
1311478380885
14751c59d401
153e5c4aae85
hex237021b2d9

152205112025 has 24 divisors (see below), whose sum is σ = 189507513600. Its totient is φ = 121266305600.

The previous prime is 152205112021. The next prime is 152205112027. The reversal of 152205112025 is 520211502251.

It is a happy number.

It is not a de Polignac number, because 152205112025 - 22 = 152205112021 is a prime.

It is a super-2 number, since 2×1522051120252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152205111985 and 152205112003.

It is not an unprimeable number, because it can be changed into a prime (152205112021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6082790 + ... + 6107760.

It is an arithmetic number, because the mean of its divisors is an integer number (7896146400).

Almost surely, 2152205112025 is an apocalyptic number.

It is an amenable number.

152205112025 is a deficient number, since it is larger than the sum of its proper divisors (37302401575).

152205112025 is a wasteful number, since it uses less digits than its factorization.

152205112025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25969 (or 25964 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 152205112025 its reverse (520211502251), we get a palindrome (672416614276).

The spelling of 152205112025 in words is "one hundred fifty-two billion, two hundred five million, one hundred twelve thousand, twenty-five".

Divisors: 1 5 25 479 509 2395 2545 11975 12725 24971 124855 243811 624275 1219055 6095275 11961109 12710239 59805545 63551195 299027725 317755975 6088204481 30441022405 152205112025