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2014224224103 = 337131327617777
BaseRepresentation
bin11101010011111001000…
…111101000111101100111
321010120001202020022012000
4131103321013220331213
5231000112400132403
64141153303300343
7265344232262130
oct35237107507547
97116052208160
102014224224103
117072560779a3
1228645374a6b3
13117c2c45c520
146d6bba52c87
15375dbb527a3
hex1d4f91e8f67

2014224224103 has 64 divisors (see below), whose sum is σ = 3675433144320. Its totient is φ = 1061645584896.

The previous prime is 2014224224053. The next prime is 2014224224119. The reversal of 2014224224103 is 3014224224102.

It is a happy number.

2014224224103 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 2 + 242 + 2 + 410 + 3 = 666.

It is not a de Polignac number, because 2014224224103 - 213 = 2014224215911 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 (2014224224123) 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, 2951551 + ... + 3569327.

It is an arithmetic number, because the mean of its divisors is an integer number (57428642880).

Almost surely, 22014224224103 is an apocalyptic number.

2014224224103 is a deficient number, since it is larger than the sum of its proper divisors (1661208920217).

2014224224103 is a wasteful number, since it uses less digits than its factorization.

2014224224103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619133 (or 619127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2014224224103 its reverse (3014224224102), we get a palindrome (5028448448205).

Subtracting 2014224224103 from its reverse (3014224224102), we obtain a palindrome (999999999999).

The spelling of 2014224224103 in words is "two trillion, fourteen billion, two hundred twenty-four million, two hundred twenty-four thousand, one hundred three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 1327 2457 3981 9289 11943 17251 27867 35829 51753 83601 120757 155259 250803 362271 465777 617777 1086813 1853331 3260439 4324439 5559993 8031101 12973317 16679979 24093303 38919951 56217707 72279909 116759853 168653121 216839727 505959363 819790079 1517878089 2459370237 5738530553 7378110711 10657271027 17215591659 22134332133 31971813081 51646774977 74600897189 95915439243 154940324931 223802691567 287746317729 671408074701 2014224224103