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3014122214103 = 373112132143243
BaseRepresentation
bin101011110111000111101…
…011110001001011010111
3101200010222100201002020220
4223313013223301023113
5343340410241322403
610224400231325423
7430522521045000
oct53670753611327
911603870632226
103014122214103
11a62311459200
124081a7520873
1318b2cc55c700
14a5c547041a7
155360e468953
hex2bdc7af12d7

3014122214103 has 144 divisors (see below), whose sum is σ = 5578265145600. Its totient is φ = 1445323239360.

The previous prime is 3014122214083. The next prime is 3014122214143.

3014122214103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3014122214103 - 29 = 3014122213591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014122214143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20970400 + ... + 21113642.

It is an arithmetic number, because the mean of its divisors is an integer number (38737952400).

Almost surely, 23014122214103 is an apocalyptic number.

3014122214103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3014122214103 is a deficient number, since it is larger than the sum of its proper divisors (2564142931497).

3014122214103 is a wasteful number, since it uses less digits than its factorization.

3014122214103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143315 (or 143277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 3014122214103 in words is "three trillion, fourteen billion, one hundred twenty-two million, two hundred fourteen thousand, one hundred three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 121 143 147 169 231 273 343 363 429 507 539 637 847 1001 1029 1183 1573 1617 1859 1911 2541 3003 3549 3773 4459 4719 5577 5929 7007 8281 11011 11319 13013 13377 17787 20449 21021 24843 33033 39039 41503 49049 57967 61347 77077 91091 124509 143143 143243 147147 173901 231231 273273 429429 429729 539539 637637 1002001 1002701 1575673 1618617 1862159 1912911 3006003 3008103 4727019 5586477 7014007 7018907 11029711 13035113 17332403 20483749 21042021 21056721 24208067 33089133 39105339 49132349 51997209 61451247 72624201 77207977 91245791 121326821 143386243 147397047 169456469 225321239 231623931 266288737 273737373 363980463 430158729 508369407 540455839 638720537 675963717 798866211 849287747 1003703701 1186195283 1577248673 1621367517 1864021159 1916161611 2547863241 2929176107 3011111103 3558585849 4731746019 5592063477 5945014229 7025925907 8303366981 8787528321 11040740711 13048148113 17835042687 20504232749 21077777721 24910100943 33122222133 39144444339 61512698247 77285184977 91337036791 143529629243 231855554931 274011110373 430588887729 1004707404701 3014122214103