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2214314312103 = 33971636478017
BaseRepresentation
bin100000001110001111011…
…010110000000110100111
321211200112101000221012000
4200032033122300012213
5242234403430441403
64413124132300343
7315656526046305
oct40161732600647
97750471027160
102214314312103
117840a377a593
122b91954716b3
13130a693316ba
147925daa5275
153c8ece6e7a3
hex2038f6b01a7

2214314312103 has 64 divisors (see below), whose sum is σ = 3340188472320. Its totient is φ = 1449602666496.

The previous prime is 2214314312087. The next prime is 2214314312117. The reversal of 2214314312103 is 3012134134122.

2214314312103 is a `hidden beast` number, since 2 + 2 + 14 + 3 + 1 + 431 + 210 + 3 = 666.

It is not a de Polignac number, because 2214314312103 - 24 = 2214314312087 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214314312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276198351 + ... + 276206367.

It is an arithmetic number, because the mean of its divisors is an integer number (52190444880).

Almost surely, 22214314312103 is an apocalyptic number.

2214314312103 is a deficient number, since it is larger than the sum of its proper divisors (1125874160217).

2214314312103 is a wasteful number, since it uses less digits than its factorization.

2214314312103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2214314312103 its reverse (3012134134122), we get a palindrome (5226448446225).

The spelling of 2214314312103 in words is "two trillion, two hundred fourteen billion, three hundred fourteen million, three hundred twelve thousand, one hundred three".

Divisors: 1 3 9 27 97 163 291 489 647 873 1467 1941 2619 4401 5823 8017 15811 17469 24051 47433 62759 72153 105461 142299 188277 216459 316383 426897 564831 777649 949149 1306771 1694493 2332947 2847447 3920313 5186999 6998841 10229717 11760939 15560997 20996523 30689151 35282817 46682991 92067453 126756787 140048973 276202359 380270361 503138903 845480837 1140811083 1509416709 2536442511 3422433249 4528250127 7609327533 13584750381 22827982599 82011641189 246034923567 738104770701 2214314312103