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2144214130131 = 33179719617053
BaseRepresentation
bin11111001100111101000…
…111110001110111010011
321120222120222011201111000
4133030331013301313103
5240112322304131011
64321012142153043
7310625424246033
oct37147507616723
97528528151430
102144214130131
117573a0a822a7
122a7690b82783
1312727720b798
1475acda518c3
153ab98b70356
hex1f33d1f1dd3

2144214130131 has 32 divisors (see below), whose sum is σ = 3198807936000. Its totient is φ = 1419510848544.

The previous prime is 2144214130109. The next prime is 2144214130151. The reversal of 2144214130131 is 1310314124412.

It is a happy number.

2144214130131 is a `hidden beast` number, since 2 + 144 + 214 + 1 + 301 + 3 + 1 = 666.

It is not a de Polignac number, because 2144214130131 - 26 = 2144214130067 is a prime.

It is a super-2 number, since 2×21442141301312 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2144214130095 and 2144214130104.

It is not an unprimeable number, because it can be changed into a prime (2144214130151) 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, 3166401 + ... + 3783453.

It is an arithmetic number, because the mean of its divisors is an integer number (99962748000).

Almost surely, 22144214130131 is an apocalyptic number.

2144214130131 is a deficient number, since it is larger than the sum of its proper divisors (1054593805869).

2144214130131 is a wasteful number, since it uses less digits than its factorization.

2144214130131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617960 (or 617954 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2144214130131 its reverse (1310314124412), we get a palindrome (3454528254543).

The spelling of 2144214130131 in words is "two trillion, one hundred forty-four billion, two hundred fourteen million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 27 179 537 719 1611 2157 4833 6471 19413 128701 386103 617053 1158309 1851159 3474927 5553477 16660431 110452487 331357461 443661107 994072383 1330983321 2982217149 3992949963 11978849889 79415338153 238246014459 714738043377 2144214130131