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220400214240111 = 343101281480112539
BaseRepresentation
bin110010000111001111101100…
…011110100110101101101111
31001220101001110212210110101220
4302013033230132212231233
5212342014114321140421
62100430243255434423
764265250525264243
oct6207175436465557
91056331425713356
10220400214240111
116425422a131524
1220877055985a13
1395c98603b2a39
143c5d5da692423
151a731ae53c3c6
hexc873ec7a6b6f

220400214240111 has 64 divisors (see below), whose sum is σ = 304846799685120. Its totient is φ = 141549004800000.

The previous prime is 220400214240083. The next prime is 220400214240113. The reversal of 220400214240111 is 111042412004022.

It is a happy number.

It is not a de Polignac number, because 220400214240111 - 26 = 220400214240047 is a prime.

It is a super-2 number, since 2×2204002142401112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220400214240113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17577170080 + ... + 17577182618.

It is an arithmetic number, because the mean of its divisors is an integer number (4763231245080).

Almost surely, 2220400214240111 is an apocalyptic number.

220400214240111 is a deficient number, since it is larger than the sum of its proper divisors (84446585445009).

220400214240111 is a wasteful number, since it uses less digits than its factorization.

220400214240111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 220400214240111 its reverse (111042412004022), we get a palindrome (331442626244133).

The spelling of 220400214240111 in words is "two hundred twenty trillion, four hundred billion, two hundred fourteen million, two hundred forty thousand, one hundred eleven".

Divisors: 1 3 43 101 129 281 303 843 4343 4801 12083 12539 13029 14403 28381 36249 37617 85143 206443 484901 539177 619329 1220383 1266439 1349081 1454703 1617531 3523459 3661149 3799317 4047243 10570377 20850743 54456877 58010483 60199739 62552229 136257181 151508737 163370631 174031449 180599217 355869359 408771543 454526211 1067608077 2588588777 5859058783 6080173639 7765766331 15302382437 16916126659 17577176349 18240520917 45907147311 50748379977 261447466477 727393446337 784342399431 1708528792559 2182180339011 5125586377677 73466738080037 220400214240111