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1210144131 = 357314519
BaseRepresentation
bin100100000100001…
…0101010110000011
310010100002200200000
41020020111112003
54434244103011
6320025331043
741663025000
oct11010252603
93110080600
101210144131
11571105219
12299336a83
13163936821
14b6a108a7
1571391356
hex48215583

1210144131 has 48 divisors (see below), whose sum is σ = 2114112000. Its totient is φ = 691463304.

The previous prime is 1210144123. The next prime is 1210144189. The reversal of 1210144131 is 1314410121.

It is not a de Polignac number, because 1210144131 - 23 = 1210144123 is a prime.

It is a super-2 number, since 2×12101441312 = 2928897635587490322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1210144231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76090 + ... + 90608.

It is an arithmetic number, because the mean of its divisors is an integer number (44044000).

Almost surely, 21210144131 is an apocalyptic number.

1210144131 is a deficient number, since it is larger than the sum of its proper divisors (903967869).

1210144131 is an frugal number, since it uses more digits than its factorization.

1210144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14555 (or 14529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1210144131 is about 34787.1259376224. The cubic root of 1210144131 is about 1065.6445453667.

Adding to 1210144131 its reverse (1314410121), we get a palindrome (2524554252).

The spelling of 1210144131 in words is "one billion, two hundred ten million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 3087 3969 9261 11907 14519 27783 43557 83349 101633 130671 304899 392013 711431 914697 1176039 2134293 2744091 3528117 4980017 6402879 8232273 14940051 19208637 24696819 44820153 57625911 134460459 172877733 403381377 1210144131