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214241050116 = 22351012182303
BaseRepresentation
bin1100011110000111000…
…0101111111000000100
3202110222211022222200000
43013201300233320010
512002231202100431
6242230533121300
721323043610362
oct3074160577004
9673884288600
10214241050116
118294a53aa05
1235630a89230
1317283858b52
14a5255c4632
15588d81e9e6
hex31e1c2fe04

214241050116 has 72 divisors (see below), whose sum is σ = 567172080384. Its totient is φ = 70706584800.

The previous prime is 214241050099. The next prime is 214241050157. The reversal of 214241050116 is 611050142412.

214241050116 is a `hidden beast` number, since 2 + 142 + 4 + 1 + 0 + 501 + 16 = 666.

It is a super-2 number, since 2×2142410501162 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214241050116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992980 + ... + 1189323.

Almost surely, 2214241050116 is an apocalyptic number.

It is an amenable number.

214241050116 is an abundant number, since it is smaller than the sum of its proper divisors (352931030268).

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

214241050116 is a wasteful number, since it uses less digits than its factorization.

214241050116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182423 (or 2182409 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 214241050116 its reverse (611050142412), we get a palindrome (825291192528).

The spelling of 214241050116 in words is "two hundred fourteen billion, two hundred forty-one million, fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 606 909 972 1212 1818 2727 3636 5454 8181 10908 16362 24543 32724 49086 98172 2182303 4364606 6546909 8729212 13093818 19640727 26187636 39281454 58922181 78562908 117844362 176766543 220412603 235688724 353533086 440825206 530299629 661237809 707066172 881650412 1060599258 1322475618 1983713427 2121198516 2644951236 3967426854 5951140281 7934853708 11902280562 17853420843 23804561124 35706841686 53560262529 71413683372 107120525058 214241050116