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152205141123 = 337839702629
BaseRepresentation
bin1000110111000000100…
…0100010010010000011
3112112212102211021211000
42031300020202102003
54443204004003443
6153531100223043
713665533232060
oct2156010422203
9475772737730
10152205141123
115960591a332
12255b923aa83
1311478390ba9
14751c5a9c67
153e5c4b48d3
hex2370222483

152205141123 has 32 divisors (see below), whose sum is σ = 260806694400. Its totient is φ = 85926473568.

The previous prime is 152205141107. The next prime is 152205141133. The reversal of 152205141123 is 321141502251.

It is a happy number.

152205141123 is a `hidden beast` number, since 1 + 5 + 2 + 20 + 514 + 1 + 123 = 666.

It is not a de Polignac number, because 152205141123 - 24 = 152205141107 is a prime.

It is a super-2 number, since 2×1522051411232 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152205141103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4835628 + ... + 4867001.

It is an arithmetic number, because the mean of its divisors is an integer number (8150209200).

Almost surely, 2152205141123 is an apocalyptic number.

152205141123 is a deficient number, since it is larger than the sum of its proper divisors (108601553277).

152205141123 is an equidigital number, since it uses as much as digits as its factorization.

152205141123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702728 (or 9702722 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 152205141123 its reverse (321141502251), we get a palindrome (473346643374).

The spelling of 152205141123 in words is "one hundred fifty-two billion, two hundred five million, one hundred forty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 15687 9702629 29107887 67918403 87323661 203755209 261970983 611265627 805318207 1833796881 2415954621 5637227449 7247863863 16911682347 21743591589 50735047041 152205141123