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2142100341 = 3229314347131
BaseRepresentation
bin111111110101101…
…1101101101110101
312112021201222020200
41333223131231311
513341334202331
6552320351113
7104040360333
oct17753355565
95467658220
102142100341
119aa183767
124b9475499
13281a3b6c4
141646c8b53
15c80d15e6
hex7faddb75

2142100341 has 96 divisors (see below), whose sum is σ = 3479224320. Its totient is φ = 1265846400.

The previous prime is 2142100333. The next prime is 2142100343. The reversal of 2142100341 is 1430012412.

It is not a de Polignac number, because 2142100341 - 23 = 2142100333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142100343) 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 95 ways as a sum of consecutive naturals, for example, 16351846 + ... + 16351976.

It is an arithmetic number, because the mean of its divisors is an integer number (36241920).

Almost surely, 22142100341 is an apocalyptic number.

It is an amenable number.

2142100341 is a deficient number, since it is larger than the sum of its proper divisors (1337123979).

2142100341 is a wasteful number, since it uses less digits than its factorization.

2142100341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142100341 is about 46282.8298724268. The cubic root of 2142100341 is about 1289.0801970260.

Adding to 2142100341 its reverse (1430012412), we get a palindrome (3572112753).

The spelling of 2142100341 in words is "two billion, one hundred forty-two million, one hundred thousand, three hundred forty-one".

Divisors: 1 3 9 29 31 43 47 87 93 129 131 141 261 279 387 393 423 899 1179 1247 1333 1363 1457 2021 2697 3741 3799 3999 4061 4089 4371 5633 6063 6157 8091 11223 11397 11997 12183 12267 13113 16899 18189 18471 34191 36549 38657 42253 50697 55413 58609 62651 115971 117769 126759 163357 174623 175827 178553 187953 190867 264751 347913 353307 380277 490071 523869 527481 535659 563859 572601 794253 1059921 1470213 1571607 1606977 1717803 1816879 2382759 5064067 5450637 5535143 7677779 8207281 15192201 16351911 16605429 23033337 24621843 45576603 49816287 69100011 73865529 238011149 714033447 2142100341