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120525441413 = 13136123812861
BaseRepresentation
bin111000000111111100…
…0000100100110000101
3102112002121212210121112
41300033320010212011
53433314003111123
6131211342254405
711464506230366
oct1601770044605
9375077783545
10120525441413
1147129519023
121b437887405
13b49a009550
145b95041b6d
153206196d78
hex1c0fe04985

120525441413 has 16 divisors (see below), whose sum is σ = 129991971312. Its totient is φ = 111086976000.

The previous prime is 120525441397. The next prime is 120525441437. The reversal of 120525441413 is 314144525021.

It can be written as a sum of positive squares in 8 ways, for example, as 52908280324 + 67617161089 = 230018^2 + 260033^2 .

It is not a de Polignac number, because 120525441413 - 24 = 120525441397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120525441413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120525441493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42125603 + ... + 42128463.

It is an arithmetic number, because the mean of its divisors is an integer number (8124498207).

Almost surely, 2120525441413 is an apocalyptic number.

120525441413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120525441413 is a deficient number, since it is larger than the sum of its proper divisors (9466529899).

120525441413 is a wasteful number, since it uses less digits than its factorization.

120525441413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 120525441413 its reverse (314144525021), we get a palindrome (434669966434).

The spelling of 120525441413 in words is "one hundred twenty billion, five hundred twenty-five million, four hundred forty-one thousand, four hundred thirteen".

Divisors: 1 13 1361 2381 2861 17693 30953 37193 3240541 3893821 6812041 42127033 50619673 88556533 9271187801 120525441413