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2142114101334 = 2321575569136111
BaseRepresentation
bin11111001010111111111…
…100110011100001010110
321120210011121121012112200
4133022333330303201112
5240044022202220314
64320023523225330
7310522404302064
oct37127774634126
97523147535480
102142114101334
11756513624609
122a71a5818246
131270011107ac
1475970b99034
153aac45ee709
hex1f2bff33856

2142114101334 has 48 divisors (see below), whose sum is σ = 4671682342080. Its totient is φ = 709357409280.

The previous prime is 2142114101333. The next prime is 2142114101357. The reversal of 2142114101334 is 4331014112412.

It is a happy number.

2142114101334 is a `hidden beast` number, since 2 + 1 + 4 + 211 + 410 + 1 + 3 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2142114101298 and 2142114101307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142114101333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15669939 + ... + 15806049.

It is an arithmetic number, because the mean of its divisors is an integer number (97326715460).

Almost surely, 22142114101334 is an apocalyptic number.

2142114101334 is an abundant number, since it is smaller than the sum of its proper divisors (2529568240746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142114101334 is a wasteful number, since it uses less digits than its factorization.

2142114101334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141845 (or 141842 counting only the distinct ones).

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

Adding to 2142114101334 its reverse (4331014112412), we get a palindrome (6473128213746).

The spelling of 2142114101334 in words is "two trillion, one hundred forty-two billion, one hundred fourteen million, one hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 5569 11138 16707 33414 50121 100242 136111 272222 408333 816666 874333 1224999 1748666 2449998 2622999 5245998 7868997 15737994 21369427 42738854 64108281 128216562 192324843 384649686 758002159 1516004318 2274006477 4548012954 6822019431 13644038862 119006338963 238012677926 357019016889 714038033778 1071057050667 2142114101334