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525120110141 = 1131397014049
BaseRepresentation
bin1111010010000111001…
…10001111111000111101
31212012102112010112012012
413221003212033320331
532100421222011031
61041123054221005
752636652201144
oct7510346177075
91765375115165
10525120110141
1119277a681000
12859317b4765
133a698519383
141b5b751475b
15d9d612db2b
hex7a4398fe3d

525120110141 has 32 divisors (see below), whose sum is σ = 582721776000. Its totient is φ = 473154528000.

The previous prime is 525120110113. The next prime is 525120110143. The reversal of 525120110141 is 141011021525.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-525120110141 is a prime.

It is a super-2 number, since 2×5251201101412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525120110143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129689285 + ... + 129693333.

It is an arithmetic number, because the mean of its divisors is an integer number (18210055500).

Almost surely, 2525120110141 is an apocalyptic number.

It is an amenable number.

525120110141 is a deficient number, since it is larger than the sum of its proper divisors (57601665859).

525120110141 is a wasteful number, since it uses less digits than its factorization.

525120110141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

Adding to 525120110141 its reverse (141011021525), we get a palindrome (666131131666).

The spelling of 525120110141 in words is "five hundred twenty-five billion, one hundred twenty million, one hundred ten thousand, one hundred forty-one".

Divisors: 1 11 121 139 701 1331 1529 4049 7711 16819 44539 84821 97439 185009 489929 562811 933031 1071829 2838349 5389219 6190921 11790119 31221839 68100131 129691309 343440229 394530511 749101441 3777842519 4339835621 47738191831 525120110141