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2151303132141 = 331941103998443
BaseRepresentation
bin11111010011100011101…
…010001011001111101101
321121122220000101100002000
4133103203222023033231
5240221332100212031
64324143420122513
7311266203623262
oct37234352131755
97548800340060
102151303132141
1175a3a9596449
122a8b2b096439
13127b36aa7327
14761a3339269
153ae611ba3e6
hex1f4e3a8b3ed

2151303132141 has 64 divisors (see below), whose sum is σ = 3440027136000. Its totient is φ = 1324289036160.

The previous prime is 2151303132131. The next prime is 2151303132151. The reversal of 2151303132141 is 1412313031512.

2151303132141 is a `hidden beast` number, since 2 + 1 + 5 + 130 + 313 + 214 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2151303132131) and next prime (2151303132151).

It is not a de Polignac number, because 2151303132141 - 238 = 1876425225197 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151303132131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21804066 + ... + 21902508.

It is an arithmetic number, because the mean of its divisors is an integer number (53750424000).

Almost surely, 22151303132141 is an apocalyptic number.

It is an amenable number.

2151303132141 is a deficient number, since it is larger than the sum of its proper divisors (1288724003859).

2151303132141 is a wasteful number, since it uses less digits than its factorization.

2151303132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99551 (or 99545 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 2151303132141 its reverse (1412313031512), we get a palindrome (3563616163653).

The spelling of 2151303132141 in words is "two trillion, one hundred fifty-one billion, three hundred three million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 41 57 123 171 369 513 779 1039 1107 2337 3117 7011 9351 19741 21033 28053 42599 59223 98443 127797 177669 295329 383391 533007 809381 885987 1150173 1870417 2428143 2657961 4036163 5611251 7284429 12108489 16833753 21853287 36325467 50501259 76687097 102282277 108976401 230061291 306846831 690183873 920540493 1943363263 2070551619 2761621479 4193573357 5830089789 12580720071 17490269367 37742160213 52470808101 79677893783 113226480639 239033681349 717101044047 2151303132141