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2120535131 = 111361283859
BaseRepresentation
bin111111001100100…
…1100110001011011
312110210011100100012
41332121030301123
513320324111011
6550230232135
7103356152111
oct17631146133
95423140305
102120535131
11998a94480
124b21b564b
1327a42aa20
141618b3ab1
15c6271a8b
hex7e64cc5b

2120535131 has 32 divisors (see below), whose sum is σ = 2544003840. Its totient is φ = 1742083200.

The previous prime is 2120535127. The next prime is 2120535149. The reversal of 2120535131 is 1315350212.

It is a happy number.

It is not a de Polignac number, because 2120535131 - 22 = 2120535127 is a prime.

It is a super-2 number, since 2×21205351312 = 8993338483610374322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120535097 and 2120535106.

It is not an unprimeable number, because it can be changed into a prime (2120535161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468180 + ... + 2469038.

It is an arithmetic number, because the mean of its divisors is an integer number (79500120).

Almost surely, 22120535131 is an apocalyptic number.

2120535131 is a deficient number, since it is larger than the sum of its proper divisors (423468709).

2120535131 is a wasteful number, since it uses less digits than its factorization.

2120535131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2120535131 is about 46049.2685175346. The cubic root of 2120535131 is about 1284.7397376480.

Adding to 2120535131 its reverse (1315350212), we get a palindrome (3435885343).

The spelling of 2120535131 in words is "two billion, one hundred twenty million, five hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 11 13 61 143 283 671 793 859 3113 3679 8723 9449 11167 17263 40469 52399 122837 189893 224419 243097 576389 681187 2468609 2674067 3160261 7493057 14828917 34762871 163118087 192775921 2120535131