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1111210414314 = 23711131371350487
BaseRepresentation
bin10000001010111001010…
…011010101000011101010
310221020020011102211010220
4100022321103111003222
5121201224331224224
62210252155350510
7143165554451130
oct20127123250352
93836204384126
101111210414314
11399297345210
1215b43a152436
1380a2c495220
143bad62ab750
151dd89c55279
hex102b94d50ea

1111210414314 has 128 divisors (see below), whose sum is σ = 3005732524032. Its totient is φ = 264479178240.

The previous prime is 1111210414289. The next prime is 1111210414339. The reversal of 1111210414314 is 4134140121111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111210414289) and next prime (1111210414339).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147579 + ... + 1498065.

It is an arithmetic number, because the mean of its divisors is an integer number (23482285344).

Almost surely, 21111210414314 is an apocalyptic number.

1111210414314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111210414314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502866262016).

1111210414314 is an abundant number, since it is smaller than the sum of its proper divisors (1894522109718).

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

1111210414314 is a wasteful number, since it uses less digits than its factorization.

1111210414314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350660.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1111210414314 its reverse (4134140121111), we get a palindrome (5245350535425).

The spelling of 1111210414314 in words is "one trillion, one hundred eleven billion, two hundred ten million, four hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 137 143 154 182 231 273 274 286 411 429 462 546 822 858 959 1001 1507 1781 1918 2002 2877 3003 3014 3562 4521 5343 5754 6006 9042 10549 10686 12467 19591 21098 24934 31647 37401 39182 58773 63294 74802 117546 137137 274274 411411 822822 1350487 2700974 4051461 8102922 9453409 14855357 17556331 18906818 28360227 29710714 35112662 44566071 52668993 56720454 89132142 103987499 105337986 122894317 185016719 193119641 207974998 245788634 311962497 368682951 370033438 386239282 555050157 579358923 623924994 737365902 1110100314 1158717846 1295117033 1351837487 2035183909 2405217347 2590234066 2703674974 3885351099 4055512461 4070367818 4810434694 6105551727 7215652041 7770702198 8111024922 12211103454 14246287363 14431304082 16836521429 26457390817 28492574726 33673042858 42738862089 50509564287 52914781634 79372172451 85477724178 101019128574 158744344902 185201735719 370403471438 555605207157 1111210414314